5y-8-3y=3y-7

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Solution for 5y-8-3y=3y-7 equation:


Simplifying
5y + -8 + -3y = 3y + -7

Reorder the terms:
-8 + 5y + -3y = 3y + -7

Combine like terms: 5y + -3y = 2y
-8 + 2y = 3y + -7

Reorder the terms:
-8 + 2y = -7 + 3y

Solving
-8 + 2y = -7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-8 + 2y + -3y = -7 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-8 + -1y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + -1y = -7 + 0
-8 + -1y = -7

Add '8' to each side of the equation.
-8 + 8 + -1y = -7 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = -7 + 8
-1y = -7 + 8

Combine like terms: -7 + 8 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1

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