40-5y=7y-8

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Solution for 40-5y=7y-8 equation:


Simplifying
40 + -5y = 7y + -8

Reorder the terms:
40 + -5y = -8 + 7y

Solving
40 + -5y = -8 + 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.
40 + -5y + -7y = -8 + 7y + -7y

Combine like terms: -5y + -7y = -12y
40 + -12y = -8 + 7y + -7y

Combine like terms: 7y + -7y = 0
40 + -12y = -8 + 0
40 + -12y = -8

Add '-40' to each side of the equation.
40 + -40 + -12y = -8 + -40

Combine like terms: 40 + -40 = 0
0 + -12y = -8 + -40
-12y = -8 + -40

Combine like terms: -8 + -40 = -48
-12y = -48

Divide each side by '-12'.
y = 4

Simplifying
y = 4

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