10+7y=5-y

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


Simplifying
10 + 7y = 5 + -1y

Solving
10 + 7y = 5 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
10 + 7y + y = 5 + -1y + y

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

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

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

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

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

Divide each side by '8'.
y = -0.625

Simplifying
y = -0.625

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