2y-7=5y-8

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Solution for 2y-7=5y-8 equation:


Simplifying
2y + -7 = 5y + -8

Reorder the terms:
-7 + 2y = 5y + -8

Reorder the terms:
-7 + 2y = -8 + 5y

Solving
-7 + 2y = -8 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + 2y + -5y = -8 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-7 + -3y = -8 + 0
-7 + -3y = -8

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

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

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

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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