8(y+4)-2(y-1)=70-3y

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Solution for 8(y+4)-2(y-1)=70-3y equation: 


Simplifying
8(y + 4) + -2(y + -1) = 70 + -3y

Reorder the terms:
8(4 + y) + -2(y + -1) = 70 + -3y
(4 * 8 + y * 8) + -2(y + -1) = 70 + -3y
(32 + 8y) + -2(y + -1) = 70 + -3y

Reorder the terms:
32 + 8y + -2(-1 + y) = 70 + -3y
32 + 8y + (-1 * -2 + y * -2) = 70 + -3y
32 + 8y + (2 + -2y) = 70 + -3y

Reorder the terms:
32 + 2 + 8y + -2y = 70 + -3y

Combine like terms: 32 + 2 = 34
34 + 8y + -2y = 70 + -3y

Combine like terms: 8y + -2y = 6y
34 + 6y = 70 + -3y

Solving
34 + 6y = 70 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
34 + 6y + 3y = 70 + -3y + 3y

Combine like terms: 6y + 3y = 9y
34 + 9y = 70 + -3y + 3y

Combine like terms: -3y + 3y = 0
34 + 9y = 70 + 0
34 + 9y = 70

Add '-34' to each side of the equation.
34 + -34 + 9y = 70 + -34

Combine like terms: 34 + -34 = 0
0 + 9y = 70 + -34
9y = 70 + -34

Combine like terms: 70 + -34 = 36
9y = 36

Divide each side by '9'.
y = 4

Simplifying
y = 4

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