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 = 2
2 + 3y = 66 + -5y

Solving
2 + 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.
2 + 3y + 5y = 66 + -5y + 5y

Combine like terms: 3y + 5y = 8y
2 + 8y = 66 + -5y + 5y

Combine like terms: -5y + 5y = 0
2 + 8y = 66 + 0
2 + 8y = 66

Add '-2' to each side of the equation.
2 + -2 + 8y = 66 + -2

Combine like terms: 2 + -2 = 0
0 + 8y = 66 + -2
8y = 66 + -2

Combine like terms: 66 + -2 = 64
8y = 64

Divide each side by '8'.
y = 8

Simplifying
y = 8

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