3[5(y-3)+9]-2(8y-1)=

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Solution for 3[5(y-3)+9]-2(8y-1)= equation: 


Simplifying
3[5(y + -3) + 9] + -2(8y + -1) = 0

Reorder the terms:
3[5(-3 + y) + 9] + -2(8y + -1) = 0
3[(-3 * 5 + y * 5) + 9] + -2(8y + -1) = 0
3[(-15 + 5y) + 9] + -2(8y + -1) = 0

Reorder the terms:
3[-15 + 9 + 5y] + -2(8y + -1) = 0

Combine like terms: -15 + 9 = -6
3[-6 + 5y] + -2(8y + -1) = 0
[-6 * 3 + 5y * 3] + -2(8y + -1) = 0
[-18 + 15y] + -2(8y + -1) = 0

Reorder the terms:
-18 + 15y + -2(-1 + 8y) = 0
-18 + 15y + (-1 * -2 + 8y * -2) = 0
-18 + 15y + (2 + -16y) = 0

Reorder the terms:
-18 + 2 + 15y + -16y = 0

Combine like terms: -18 + 2 = -16
-16 + 15y + -16y = 0

Combine like terms: 15y + -16y = -1y
-16 + -1y = 0

Solving
-16 + -1y = 0

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + -1y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1y = 0 + 16
-1y = 0 + 16

Combine like terms: 0 + 16 = 16
-1y = 16

Divide each side by '-1'.
y = -16

Simplifying
y = -16

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