27+3y-2=10y-10-2y

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Solution for 27+3y-2=10y-10-2y equation:


Simplifying
27 + 3y + -2 = 10y + -10 + -2y

Reorder the terms:
27 + -2 + 3y = 10y + -10 + -2y

Combine like terms: 27 + -2 = 25
25 + 3y = 10y + -10 + -2y

Reorder the terms:
25 + 3y = -10 + 10y + -2y

Combine like terms: 10y + -2y = 8y
25 + 3y = -10 + 8y

Solving
25 + 3y = -10 + 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.
25 + 3y + -8y = -10 + 8y + -8y

Combine like terms: 3y + -8y = -5y
25 + -5y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
25 + -5y = -10 + 0
25 + -5y = -10

Add '-25' to each side of the equation.
25 + -25 + -5y = -10 + -25

Combine like terms: 25 + -25 = 0
0 + -5y = -10 + -25
-5y = -10 + -25

Combine like terms: -10 + -25 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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