7(y+2)-4(2y-5)=34

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Solution for 7(y+2)-4(2y-5)=34 equation: 


Simplifying
7(y + 2) + -4(2y + -5) = 34

Reorder the terms:
7(2 + y) + -4(2y + -5) = 34
(2 * 7 + y * 7) + -4(2y + -5) = 34
(14 + 7y) + -4(2y + -5) = 34

Reorder the terms:
14 + 7y + -4(-5 + 2y) = 34
14 + 7y + (-5 * -4 + 2y * -4) = 34
14 + 7y + (20 + -8y) = 34

Reorder the terms:
14 + 20 + 7y + -8y = 34

Combine like terms: 14 + 20 = 34
34 + 7y + -8y = 34

Combine like terms: 7y + -8y = -1y
34 + -1y = 34

Add '-34' to each side of the equation.
34 + -34 + -1y = 34 + -34

Combine like terms: 34 + -34 = 0
0 + -1y = 34 + -34
-1y = 34 + -34

Combine like terms: 34 + -34 = 0
-1y = 0

Solving
-1y = 0

Solving for variable 'y'.

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

Divide each side by '-1'.
y = 0

Simplifying
y = 0

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