3(14y-17)-9(7+8y)+4y-11=-2(3-11y)+7y-9

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Solution for 3(14y-17)-9(7+8y)+4y-11=-2(3-11y)+7y-9 equation: 


Simplifying
3(14y + -17) + -9(7 + 8y) + 4y + -11 = -2(3 + -11y) + 7y + -9

Reorder the terms:
3(-17 + 14y) + -9(7 + 8y) + 4y + -11 = -2(3 + -11y) + 7y + -9
(-17 * 3 + 14y * 3) + -9(7 + 8y) + 4y + -11 = -2(3 + -11y) + 7y + -9
(-51 + 42y) + -9(7 + 8y) + 4y + -11 = -2(3 + -11y) + 7y + -9
-51 + 42y + (7 * -9 + 8y * -9) + 4y + -11 = -2(3 + -11y) + 7y + -9
-51 + 42y + (-63 + -72y) + 4y + -11 = -2(3 + -11y) + 7y + -9

Reorder the terms:
-51 + -63 + -11 + 42y + -72y + 4y = -2(3 + -11y) + 7y + -9

Combine like terms: -51 + -63 = -114
-114 + -11 + 42y + -72y + 4y = -2(3 + -11y) + 7y + -9

Combine like terms: -114 + -11 = -125
-125 + 42y + -72y + 4y = -2(3 + -11y) + 7y + -9

Combine like terms: 42y + -72y = -30y
-125 + -30y + 4y = -2(3 + -11y) + 7y + -9

Combine like terms: -30y + 4y = -26y
-125 + -26y = -2(3 + -11y) + 7y + -9
-125 + -26y = (3 * -2 + -11y * -2) + 7y + -9
-125 + -26y = (-6 + 22y) + 7y + -9

Reorder the terms:
-125 + -26y = -6 + -9 + 22y + 7y

Combine like terms: -6 + -9 = -15
-125 + -26y = -15 + 22y + 7y

Combine like terms: 22y + 7y = 29y
-125 + -26y = -15 + 29y

Solving
-125 + -26y = -15 + 29y

Solving for variable 'y'.

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

Add '-29y' to each side of the equation.
-125 + -26y + -29y = -15 + 29y + -29y

Combine like terms: -26y + -29y = -55y
-125 + -55y = -15 + 29y + -29y

Combine like terms: 29y + -29y = 0
-125 + -55y = -15 + 0
-125 + -55y = -15

Add '125' to each side of the equation.
-125 + 125 + -55y = -15 + 125

Combine like terms: -125 + 125 = 0
0 + -55y = -15 + 125
-55y = -15 + 125

Combine like terms: -15 + 125 = 110
-55y = 110

Divide each side by '-55'.
y = -2

Simplifying
y = -2

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