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

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


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

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

Reorder the terms:
-7 + -3y = 5(5 + y)
-7 + -3y = (5 * 5 + y * 5)
-7 + -3y = (25 + 5y)

Solving
-7 + -3y = 25 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + -3y + -5y = 25 + 5y + -5y

Combine like terms: -3y + -5y = -8y
-7 + -8y = 25 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + -8y = 25 + 0
-7 + -8y = 25

Add '7' to each side of the equation.
-7 + 7 + -8y = 25 + 7

Combine like terms: -7 + 7 = 0
0 + -8y = 25 + 7
-8y = 25 + 7

Combine like terms: 25 + 7 = 32
-8y = 32

Divide each side by '-8'.
y = -4

Simplifying
y = -4

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