5-3(y-4)=57+7y

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Solution for 5-3(y-4)=57+7y equation: 


Simplifying
5 + -3(y + -4) = 57 + 7y

Reorder the terms:
5 + -3(-4 + y) = 57 + 7y
5 + (-4 * -3 + y * -3) = 57 + 7y
5 + (12 + -3y) = 57 + 7y

Combine like terms: 5 + 12 = 17
17 + -3y = 57 + 7y

Solving
17 + -3y = 57 + 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.
17 + -3y + -7y = 57 + 7y + -7y

Combine like terms: -3y + -7y = -10y
17 + -10y = 57 + 7y + -7y

Combine like terms: 7y + -7y = 0
17 + -10y = 57 + 0
17 + -10y = 57

Add '-17' to each side of the equation.
17 + -17 + -10y = 57 + -17

Combine like terms: 17 + -17 = 0
0 + -10y = 57 + -17
-10y = 57 + -17

Combine like terms: 57 + -17 = 40
-10y = 40

Divide each side by '-10'.
y = -4

Simplifying
y = -4

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