4(-19y-11)=7-12(18y+17)-13(5y-19)+13y+12

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Solution for 4(-19y-11)=7-12(18y+17)-13(5y-19)+13y+12 equation: 


Simplifying
4(-19y + -11) = 7 + -12(18y + 17) + -13(5y + -19) + 13y + 12

Reorder the terms:
4(-11 + -19y) = 7 + -12(18y + 17) + -13(5y + -19) + 13y + 12
(-11 * 4 + -19y * 4) = 7 + -12(18y + 17) + -13(5y + -19) + 13y + 12
(-44 + -76y) = 7 + -12(18y + 17) + -13(5y + -19) + 13y + 12

Reorder the terms:
-44 + -76y = 7 + -12(17 + 18y) + -13(5y + -19) + 13y + 12
-44 + -76y = 7 + (17 * -12 + 18y * -12) + -13(5y + -19) + 13y + 12
-44 + -76y = 7 + (-204 + -216y) + -13(5y + -19) + 13y + 12

Reorder the terms:
-44 + -76y = 7 + -204 + -216y + -13(-19 + 5y) + 13y + 12
-44 + -76y = 7 + -204 + -216y + (-19 * -13 + 5y * -13) + 13y + 12
-44 + -76y = 7 + -204 + -216y + (247 + -65y) + 13y + 12

Reorder the terms:
-44 + -76y = 7 + -204 + 247 + 12 + -216y + -65y + 13y

Combine like terms: 7 + -204 = -197
-44 + -76y = -197 + 247 + 12 + -216y + -65y + 13y

Combine like terms: -197 + 247 = 50
-44 + -76y = 50 + 12 + -216y + -65y + 13y

Combine like terms: 50 + 12 = 62
-44 + -76y = 62 + -216y + -65y + 13y

Combine like terms: -216y + -65y = -281y
-44 + -76y = 62 + -281y + 13y

Combine like terms: -281y + 13y = -268y
-44 + -76y = 62 + -268y

Solving
-44 + -76y = 62 + -268y

Solving for variable 'y'.

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

Add '268y' to each side of the equation.
-44 + -76y + 268y = 62 + -268y + 268y

Combine like terms: -76y + 268y = 192y
-44 + 192y = 62 + -268y + 268y

Combine like terms: -268y + 268y = 0
-44 + 192y = 62 + 0
-44 + 192y = 62

Add '44' to each side of the equation.
-44 + 44 + 192y = 62 + 44

Combine like terms: -44 + 44 = 0
0 + 192y = 62 + 44
192y = 62 + 44

Combine like terms: 62 + 44 = 106
192y = 106

Divide each side by '192'.
y = 0.5520833333

Simplifying
y = 0.5520833333

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