-5y+7=-4(2y+5)

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Solution for -5y+7=-4(2y+5) equation:


Simplifying
-5y + 7 = -4(2y + 5)

Reorder the terms:
7 + -5y = -4(2y + 5)

Reorder the terms:
7 + -5y = -4(5 + 2y)
7 + -5y = (5 * -4 + 2y * -4)
7 + -5y = (-20 + -8y)

Solving
7 + -5y = -20 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
7 + -5y + 8y = -20 + -8y + 8y

Combine like terms: -5y + 8y = 3y
7 + 3y = -20 + -8y + 8y

Combine like terms: -8y + 8y = 0
7 + 3y = -20 + 0
7 + 3y = -20

Add '-7' to each side of the equation.
7 + -7 + 3y = -20 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = -20 + -7
3y = -20 + -7

Combine like terms: -20 + -7 = -27
3y = -27

Divide each side by '3'.
y = -9

Simplifying
y = -9

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