QuestionSolve the equation: $\frac{2 y-6}{4}+\frac{9}{8}=\frac{4 y+4}{8}$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is a linear equation in one variable, y. . We are looking for the value of y that satisfies the equation.

STEP 2

The given equation is $\frac{2 y-6}{4}+\frac{9}{8}=\frac{4 y+4}{8}$

STEP 3

First, we simplify the equation by multiplying each term by8 to eliminate the fractions. This gives us $8 \cdot \frac{2 y-6}{} +8 \cdot \frac{9}{8} =8 \cdot \frac{ y+}{8}$

STEP 4

implify each term $4(2y -6) +9 =4(y +1)$

STEP 5

Expand the brackets $8y -24 +9 =4y +4$

STEP 6

implify the equation by combining like terms $8y -15 =4y +4$

STEP 7

To isolate y, subtract4y from both sides of the equation $y -4y =4 +15$

STEP 8

implify the equation $4y =19$

STEP 9

Finally, divide both sides of the equation by4 to solve for y $y = \frac{19}{4}$ So, the solution to the equation is $y = \frac{19}{4}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms