5[3(6-y)-4(8+3y)]-132=-6[5(6+y)-3]

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Solution for 5[3(6-y)-4(8+3y)]-132=-6[5(6+y)-3] equation: 


Simplifying
5[3(6 + -1y) + -4(8 + 3y)] + -132 = -6[5(6 + y) + -3]
5[(6 * 3 + -1y * 3) + -4(8 + 3y)] + -132 = -6[5(6 + y) + -3]
5[(18 + -3y) + -4(8 + 3y)] + -132 = -6[5(6 + y) + -3]
5[18 + -3y + (8 * -4 + 3y * -4)] + -132 = -6[5(6 + y) + -3]
5[18 + -3y + (-32 + -12y)] + -132 = -6[5(6 + y) + -3]

Reorder the terms:
5[18 + -32 + -3y + -12y] + -132 = -6[5(6 + y) + -3]

Combine like terms: 18 + -32 = -14
5[-14 + -3y + -12y] + -132 = -6[5(6 + y) + -3]

Combine like terms: -3y + -12y = -15y
5[-14 + -15y] + -132 = -6[5(6 + y) + -3]
[-14 * 5 + -15y * 5] + -132 = -6[5(6 + y) + -3]
[-70 + -75y] + -132 = -6[5(6 + y) + -3]

Reorder the terms:
-70 + -132 + -75y = -6[5(6 + y) + -3]

Combine like terms: -70 + -132 = -202
-202 + -75y = -6[5(6 + y) + -3]
-202 + -75y = -6[(6 * 5 + y * 5) + -3]
-202 + -75y = -6[(30 + 5y) + -3]

Reorder the terms:
-202 + -75y = -6[30 + -3 + 5y]

Combine like terms: 30 + -3 = 27
-202 + -75y = -6[27 + 5y]
-202 + -75y = [27 * -6 + 5y * -6]
-202 + -75y = [-162 + -30y]

Solving
-202 + -75y = -162 + -30y

Solving for variable 'y'.

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

Add '30y' to each side of the equation.
-202 + -75y + 30y = -162 + -30y + 30y

Combine like terms: -75y + 30y = -45y
-202 + -45y = -162 + -30y + 30y

Combine like terms: -30y + 30y = 0
-202 + -45y = -162 + 0
-202 + -45y = -162

Add '202' to each side of the equation.
-202 + 202 + -45y = -162 + 202

Combine like terms: -202 + 202 = 0
0 + -45y = -162 + 202
-45y = -162 + 202

Combine like terms: -162 + 202 = 40
-45y = 40

Divide each side by '-45'.
y = -0.8888888889

Simplifying
y = -0.8888888889

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