11y(2y+7)-17y(-5y-11)=107y(y-20)+4y+6

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Solution for 11y(2y+7)-17y(-5y-11)=107y(y-20)+4y+6 equation: 


Simplifying
11y(2y + 7) + -17y(-5y + -11) = 107y(y + -20) + 4y + 6

Reorder the terms:
11y(7 + 2y) + -17y(-5y + -11) = 107y(y + -20) + 4y + 6
(7 * 11y + 2y * 11y) + -17y(-5y + -11) = 107y(y + -20) + 4y + 6
(77y + 22y2) + -17y(-5y + -11) = 107y(y + -20) + 4y + 6

Reorder the terms:
77y + 22y2 + -17y(-11 + -5y) = 107y(y + -20) + 4y + 6
77y + 22y2 + (-11 * -17y + -5y * -17y) = 107y(y + -20) + 4y + 6
77y + 22y2 + (187y + 85y2) = 107y(y + -20) + 4y + 6

Reorder the terms:
77y + 187y + 22y2 + 85y2 = 107y(y + -20) + 4y + 6

Combine like terms: 77y + 187y = 264y
264y + 22y2 + 85y2 = 107y(y + -20) + 4y + 6

Combine like terms: 22y2 + 85y2 = 107y2
264y + 107y2 = 107y(y + -20) + 4y + 6

Reorder the terms:
264y + 107y2 = 107y(-20 + y) + 4y + 6
264y + 107y2 = (-20 * 107y + y * 107y) + 4y + 6
264y + 107y2 = (-2140y + 107y2) + 4y + 6

Reorder the terms:
264y + 107y2 = 6 + -2140y + 4y + 107y2

Combine like terms: -2140y + 4y = -2136y
264y + 107y2 = 6 + -2136y + 107y2

Add '-107y2' to each side of the equation.
264y + 107y2 + -107y2 = 6 + -2136y + 107y2 + -107y2

Combine like terms: 107y2 + -107y2 = 0
264y + 0 = 6 + -2136y + 107y2 + -107y2
264y = 6 + -2136y + 107y2 + -107y2

Combine like terms: 107y2 + -107y2 = 0
264y = 6 + -2136y + 0
264y = 6 + -2136y

Solving
264y = 6 + -2136y

Solving for variable 'y'.

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

Add '2136y' to each side of the equation.
264y + 2136y = 6 + -2136y + 2136y

Combine like terms: 264y + 2136y = 2400y
2400y = 6 + -2136y + 2136y

Combine like terms: -2136y + 2136y = 0
2400y = 6 + 0
2400y = 6

Divide each side by '2400'.
y = 0.0025

Simplifying
y = 0.0025

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