3y-10+5y=y-7

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Solution for 3y-10+5y=y-7 equation:


Simplifying
3y + -10 + 5y = y + -7

Reorder the terms:
-10 + 3y + 5y = y + -7

Combine like terms: 3y + 5y = 8y
-10 + 8y = y + -7

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

Solving
-10 + 8y = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-10 + 8y + -1y = -7 + y + -1y

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

Combine like terms: y + -1y = 0
-10 + 7y = -7 + 0
-10 + 7y = -7

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

Combine like terms: -10 + 10 = 0
0 + 7y = -7 + 10
7y = -7 + 10

Combine like terms: -7 + 10 = 3
7y = 3

Divide each side by '7'.
y = 0.4285714286

Simplifying
y = 0.4285714286

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