10y-55=2y-7

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Solution for 10y-55=2y-7 equation:


Simplifying
10y + -55 = 2y + -7

Reorder the terms:
-55 + 10y = 2y + -7

Reorder the terms:
-55 + 10y = -7 + 2y

Solving
-55 + 10y = -7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-55 + 10y + -2y = -7 + 2y + -2y

Combine like terms: 10y + -2y = 8y
-55 + 8y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-55 + 8y = -7 + 0
-55 + 8y = -7

Add '55' to each side of the equation.
-55 + 55 + 8y = -7 + 55

Combine like terms: -55 + 55 = 0
0 + 8y = -7 + 55
8y = -7 + 55

Combine like terms: -7 + 55 = 48
8y = 48

Divide each side by '8'.
y = 6

Simplifying
y = 6

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