3+(-12y-3)(-12y-2)-(72y+2)(2y+3)=7

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Solution for 3+(-12y-3)(-12y-2)-(72y+2)(2y+3)=7 equation: 


Simplifying
3 + (-12y + -3)(-12y + -2) + -1(72y + 2)(2y + 3) = 7

Reorder the terms:
3 + (-3 + -12y)(-12y + -2) + -1(72y + 2)(2y + 3) = 7

Reorder the terms:
3 + (-3 + -12y)(-2 + -12y) + -1(72y + 2)(2y + 3) = 7

Multiply (-3 + -12y) * (-2 + -12y)
3 + (-3(-2 + -12y) + -12y * (-2 + -12y)) + -1(72y + 2)(2y + 3) = 7
3 + ((-2 * -3 + -12y * -3) + -12y * (-2 + -12y)) + -1(72y + 2)(2y + 3) = 7
3 + ((6 + 36y) + -12y * (-2 + -12y)) + -1(72y + 2)(2y + 3) = 7
3 + (6 + 36y + (-2 * -12y + -12y * -12y)) + -1(72y + 2)(2y + 3) = 7
3 + (6 + 36y + (24y + 144y2)) + -1(72y + 2)(2y + 3) = 7

Combine like terms: 36y + 24y = 60y
3 + (6 + 60y + 144y2) + -1(72y + 2)(2y + 3) = 7

Reorder the terms:
3 + 6 + 60y + 144y2 + -1(2 + 72y)(2y + 3) = 7

Reorder the terms:
3 + 6 + 60y + 144y2 + -1(2 + 72y)(3 + 2y) = 7

Multiply (2 + 72y) * (3 + 2y)
3 + 6 + 60y + 144y2 + -1(2(3 + 2y) + 72y * (3 + 2y)) = 7
3 + 6 + 60y + 144y2 + -1((3 * 2 + 2y * 2) + 72y * (3 + 2y)) = 7
3 + 6 + 60y + 144y2 + -1((6 + 4y) + 72y * (3 + 2y)) = 7
3 + 6 + 60y + 144y2 + -1(6 + 4y + (3 * 72y + 2y * 72y)) = 7
3 + 6 + 60y + 144y2 + -1(6 + 4y + (216y + 144y2)) = 7

Combine like terms: 4y + 216y = 220y
3 + 6 + 60y + 144y2 + -1(6 + 220y + 144y2) = 7
3 + 6 + 60y + 144y2 + (6 * -1 + 220y * -1 + 144y2 * -1) = 7
3 + 6 + 60y + 144y2 + (-6 + -220y + -144y2) = 7

Reorder the terms:
3 + 6 + -6 + 60y + -220y + 144y2 + -144y2 = 7

Combine like terms: 3 + 6 = 9
9 + -6 + 60y + -220y + 144y2 + -144y2 = 7

Combine like terms: 9 + -6 = 3
3 + 60y + -220y + 144y2 + -144y2 = 7

Combine like terms: 60y + -220y = -160y
3 + -160y + 144y2 + -144y2 = 7

Combine like terms: 144y2 + -144y2 = 0
3 + -160y + 0 = 7
3 + -160y = 7

Solving
3 + -160y = 7

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -160y = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -160y = 7 + -3
-160y = 7 + -3

Combine like terms: 7 + -3 = 4
-160y = 4

Divide each side by '-160'.
y = -0.025

Simplifying
y = -0.025

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