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 = -15
-1y = -15

Divide each side by '-1'.
y = 15

Simplifying
y = 15

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