5(y+1)=3y+7

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Solution for 5(y+1)=3y+7 equation:


Simplifying
5(y + 1) = 3y + 7

Reorder the terms:
5(1 + y) = 3y + 7
(1 * 5 + y * 5) = 3y + 7
(5 + 5y) = 3y + 7

Reorder the terms:
5 + 5y = 7 + 3y

Solving
5 + 5y = 7 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
5 + 5y + -3y = 7 + 3y + -3y

Combine like terms: 5y + -3y = 2y
5 + 2y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
5 + 2y = 7 + 0
5 + 2y = 7

Add '-5' to each side of the equation.
5 + -5 + 2y = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 7 + -5
2y = 7 + -5

Combine like terms: 7 + -5 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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