2(y-4)-7y=37

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Solution for 2(y-4)-7y=37 equation: 


Simplifying
2(y + -4) + -7y = 37

Reorder the terms:
2(-4 + y) + -7y = 37
(-4 * 2 + y * 2) + -7y = 37
(-8 + 2y) + -7y = 37

Combine like terms: 2y + -7y = -5y
-8 + -5y = 37

Solving
-8 + -5y = 37

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + -5y = 37 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = 37 + 8
-5y = 37 + 8

Combine like terms: 37 + 8 = 45
-5y = 45

Divide each side by '-5'.
y = -9

Simplifying
y = -9

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