89=2(y-40)+57

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Solution for 89=2(y-40)+57 equation:


Simplifying
89 = 2(y + -40) + 57

Reorder the terms:
89 = 2(-40 + y) + 57
89 = (-40 * 2 + y * 2) + 57
89 = (-80 + 2y) + 57

Reorder the terms:
89 = -80 + 57 + 2y

Combine like terms: -80 + 57 = -23
89 = -23 + 2y

Solving
89 = -23 + 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.
89 + -2y = -23 + 2y + -2y

Combine like terms: 2y + -2y = 0
89 + -2y = -23 + 0
89 + -2y = -23

Add '-89' to each side of the equation.
89 + -89 + -2y = -23 + -89

Combine like terms: 89 + -89 = 0
0 + -2y = -23 + -89
-2y = -23 + -89

Combine like terms: -23 + -89 = -112
-2y = -112

Divide each side by '-2'.
y = 56

Simplifying
y = 56

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