4(y-2)-3(y+7)=-34

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Solution for 4(y-2)-3(y+7)=-34 equation: 


Simplifying
4(y + -2) + -3(y + 7) = -34

Reorder the terms:
4(-2 + y) + -3(y + 7) = -34
(-2 * 4 + y * 4) + -3(y + 7) = -34
(-8 + 4y) + -3(y + 7) = -34

Reorder the terms:
-8 + 4y + -3(7 + y) = -34
-8 + 4y + (7 * -3 + y * -3) = -34
-8 + 4y + (-21 + -3y) = -34

Reorder the terms:
-8 + -21 + 4y + -3y = -34

Combine like terms: -8 + -21 = -29
-29 + 4y + -3y = -34

Combine like terms: 4y + -3y = 1y
-29 + 1y = -34

Solving
-29 + 1y = -34

Solving for variable 'y'.

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

Add '29' to each side of the equation.
-29 + 29 + 1y = -34 + 29

Combine like terms: -29 + 29 = 0
0 + 1y = -34 + 29
1y = -34 + 29

Combine like terms: -34 + 29 = -5
1y = -5

Divide each side by '1'.
y = -5

Simplifying
y = -5

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