7y-10=8y-5

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Solution for 7y-10=8y-5 equation:


Simplifying
7y + -10 = 8y + -5

Reorder the terms:
-10 + 7y = 8y + -5

Reorder the terms:
-10 + 7y = -5 + 8y

Solving
-10 + 7y = -5 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-10 + 7y + -8y = -5 + 8y + -8y

Combine like terms: 7y + -8y = -1y
-10 + -1y = -5 + 8y + -8y

Combine like terms: 8y + -8y = 0
-10 + -1y = -5 + 0
-10 + -1y = -5

Add '10' to each side of the equation.
-10 + 10 + -1y = -5 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = -5 + 10
-1y = -5 + 10

Combine like terms: -5 + 10 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5

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