Math  /  Algebra

QuestionSolve for yy. 5(y+3)=505(y+3)=50
Simplify your answer as much as possible. y=y=

Studdy Solution

STEP 1

1. The equation 5(y+3)=50 5(y+3) = 50 is asking us to solve for y y .
2. This is a linear equation with one solution.
3. The equation involves basic algebraic operations, specifically distribution and subtraction.

STEP 2

1. Distribute the constant outside the parentheses.
2. Isolate the variable y y by performing algebraic operations.
3. Simplify the expression to find the value of y y .

STEP 3

Distribute the 5 5 across the terms inside the parentheses:
5(y+3)=5y+53 5(y+3) = 5 \cdot y + 5 \cdot 3
This simplifies to:
5y+15=50 5y + 15 = 50

STEP 4

To isolate y y , subtract 15 15 from both sides of the equation:
5y+1515=5015 5y + 15 - 15 = 50 - 15
This simplifies to:
5y=35 5y = 35

STEP 5

Divide both sides by 5 5 to solve for y y :
5y5=355 \frac{5y}{5} = \frac{35}{5}
This simplifies to:
y=7 y = 7
The solution is:
y=7 y = \boxed{7}

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