3(y-4)-10=66-5y

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Solution for 3(y-4)-10=66-5y equation: 


Simplifying
3(y + -4) + -10 = 66 + -5y

Reorder the terms:
3(-4 + y) + -10 = 66 + -5y
(-4 * 3 + y * 3) + -10 = 66 + -5y
(-12 + 3y) + -10 = 66 + -5y

Reorder the terms:
-12 + -10 + 3y = 66 + -5y

Combine like terms: -12 + -10 = -22
-22 + 3y = 66 + -5y

Solving
-22 + 3y = 66 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-22 + 3y + 5y = 66 + -5y + 5y

Combine like terms: 3y + 5y = 8y
-22 + 8y = 66 + -5y + 5y

Combine like terms: -5y + 5y = 0
-22 + 8y = 66 + 0
-22 + 8y = 66

Add '22' to each side of the equation.
-22 + 22 + 8y = 66 + 22

Combine like terms: -22 + 22 = 0
0 + 8y = 66 + 22
8y = 66 + 22

Combine like terms: 66 + 22 = 88
8y = 88

Divide each side by '8'.
y = 11

Simplifying
y = 11

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