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Simplifying -13y(-6y + 13) + -3(16y + 11) = 39y(2y + -10) + -8 Reorder the terms: -13y(13 + -6y) + -3(16y + 11) = 39y(2y + -10) + -8 (13 * -13y + -6y * -13y) + -3(16y + 11) = 39y(2y + -10) + -8 (-169y + 78y2) + -3(16y + 11) = 39y(2y + -10) + -8 Reorder the terms: -169y + 78y2 + -3(11 + 16y) = 39y(2y + -10) + -8 -169y + 78y2 + (11 * -3 + 16y * -3) = 39y(2y + -10) + -8 -169y + 78y2 + (-33 + -48y) = 39y(2y + -10) + -8 Reorder the terms: -33 + -169y + -48y + 78y2 = 39y(2y + -10) + -8 Combine like terms: -169y + -48y = -217y -33 + -217y + 78y2 = 39y(2y + -10) + -8 Reorder the terms: -33 + -217y + 78y2 = 39y(-10 + 2y) + -8 -33 + -217y + 78y2 = (-10 * 39y + 2y * 39y) + -8 -33 + -217y + 78y2 = (-390y + 78y2) + -8 Reorder the terms: -33 + -217y + 78y2 = -8 + -390y + 78y2 Add '-78y2' to each side of the equation. -33 + -217y + 78y2 + -78y2 = -8 + -390y + 78y2 + -78y2 Combine like terms: 78y2 + -78y2 = 0 -33 + -217y + 0 = -8 + -390y + 78y2 + -78y2 -33 + -217y = -8 + -390y + 78y2 + -78y2 Combine like terms: 78y2 + -78y2 = 0 -33 + -217y = -8 + -390y + 0 -33 + -217y = -8 + -390y Solving -33 + -217y = -8 + -390y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '390y' to each side of the equation. -33 + -217y + 390y = -8 + -390y + 390y Combine like terms: -217y + 390y = 173y -33 + 173y = -8 + -390y + 390y Combine like terms: -390y + 390y = 0 -33 + 173y = -8 + 0 -33 + 173y = -8 Add '33' to each side of the equation. -33 + 33 + 173y = -8 + 33 Combine like terms: -33 + 33 = 0 0 + 173y = -8 + 33 173y = -8 + 33 Combine like terms: -8 + 33 = 25 173y = 25 Divide each side by '173'. y = 0.1445086705 Simplifying y = 0.1445086705
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