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

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


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

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

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

Solving
5 + -7y = 20 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
5 + -7y + 4y = 20 + -4y + 4y

Combine like terms: -7y + 4y = -3y
5 + -3y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
5 + -3y = 20 + 0
5 + -3y = 20

Add '-5' to each side of the equation.
5 + -5 + -3y = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 20 + -5
-3y = 20 + -5

Combine like terms: 20 + -5 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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