5(y+3)=7(y-5)

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


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

Reorder the terms:
5(3 + y) = 7(y + -5)
(3 * 5 + y * 5) = 7(y + -5)
(15 + 5y) = 7(y + -5)

Reorder the terms:
15 + 5y = 7(-5 + y)
15 + 5y = (-5 * 7 + y * 7)
15 + 5y = (-35 + 7y)

Solving
15 + 5y = -35 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
15 + 5y + -7y = -35 + 7y + -7y

Combine like terms: 5y + -7y = -2y
15 + -2y = -35 + 7y + -7y

Combine like terms: 7y + -7y = 0
15 + -2y = -35 + 0
15 + -2y = -35

Add '-15' to each side of the equation.
15 + -15 + -2y = -35 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = -35 + -15
-2y = -35 + -15

Combine like terms: -35 + -15 = -50
-2y = -50

Divide each side by '-2'.
y = 25

Simplifying
y = 25

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