-15y(17y+4)+7=-7(-7y+9)+3y(-85y-4)

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Solution for -15y(17y+4)+7=-7(-7y+9)+3y(-85y-4) equation:


Simplifying
-15y(17y + 4) + 7 = -7(-7y + 9) + 3y(-85y + -4)

Reorder the terms:
-15y(4 + 17y) + 7 = -7(-7y + 9) + 3y(-85y + -4)
(4 * -15y + 17y * -15y) + 7 = -7(-7y + 9) + 3y(-85y + -4)
(-60y + -255y2) + 7 = -7(-7y + 9) + 3y(-85y + -4)

Reorder the terms:
7 + -60y + -255y2 = -7(-7y + 9) + 3y(-85y + -4)

Reorder the terms:
7 + -60y + -255y2 = -7(9 + -7y) + 3y(-85y + -4)
7 + -60y + -255y2 = (9 * -7 + -7y * -7) + 3y(-85y + -4)
7 + -60y + -255y2 = (-63 + 49y) + 3y(-85y + -4)

Reorder the terms:
7 + -60y + -255y2 = -63 + 49y + 3y(-4 + -85y)
7 + -60y + -255y2 = -63 + 49y + (-4 * 3y + -85y * 3y)
7 + -60y + -255y2 = -63 + 49y + (-12y + -255y2)

Combine like terms: 49y + -12y = 37y
7 + -60y + -255y2 = -63 + 37y + -255y2

Add '255y2' to each side of the equation.
7 + -60y + -255y2 + 255y2 = -63 + 37y + -255y2 + 255y2

Combine like terms: -255y2 + 255y2 = 0
7 + -60y + 0 = -63 + 37y + -255y2 + 255y2
7 + -60y = -63 + 37y + -255y2 + 255y2

Combine like terms: -255y2 + 255y2 = 0
7 + -60y = -63 + 37y + 0
7 + -60y = -63 + 37y

Solving
7 + -60y = -63 + 37y

Solving for variable 'y'.

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

Add '-37y' to each side of the equation.
7 + -60y + -37y = -63 + 37y + -37y

Combine like terms: -60y + -37y = -97y
7 + -97y = -63 + 37y + -37y

Combine like terms: 37y + -37y = 0
7 + -97y = -63 + 0
7 + -97y = -63

Add '-7' to each side of the equation.
7 + -7 + -97y = -63 + -7

Combine like terms: 7 + -7 = 0
0 + -97y = -63 + -7
-97y = -63 + -7

Combine like terms: -63 + -7 = -70
-97y = -70

Divide each side by '-97'.
y = 0.7216494845

Simplifying
y = 0.7216494845

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