7(y-3)=2y-56

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Solution for 7(y-3)=2y-56 equation:


Simplifying
7(y + -3) = 2y + -56

Reorder the terms:
7(-3 + y) = 2y + -56
(-3 * 7 + y * 7) = 2y + -56
(-21 + 7y) = 2y + -56

Reorder the terms:
-21 + 7y = -56 + 2y

Solving
-21 + 7y = -56 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-21 + 7y + -2y = -56 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-21 + 5y = -56 + 2y + -2y

Combine like terms: 2y + -2y = 0
-21 + 5y = -56 + 0
-21 + 5y = -56

Add '21' to each side of the equation.
-21 + 21 + 5y = -56 + 21

Combine like terms: -21 + 21 = 0
0 + 5y = -56 + 21
5y = -56 + 21

Combine like terms: -56 + 21 = -35
5y = -35

Divide each side by '5'.
y = -7

Simplifying
y = -7

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