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Simplifying 15y(-17y + 10) + -3y + 8 = -3y(85y + 10) Reorder the terms: 15y(10 + -17y) + -3y + 8 = -3y(85y + 10) (10 * 15y + -17y * 15y) + -3y + 8 = -3y(85y + 10) (150y + -255y2) + -3y + 8 = -3y(85y + 10) Reorder the terms: 8 + 150y + -3y + -255y2 = -3y(85y + 10) Combine like terms: 150y + -3y = 147y 8 + 147y + -255y2 = -3y(85y + 10) Reorder the terms: 8 + 147y + -255y2 = -3y(10 + 85y) 8 + 147y + -255y2 = (10 * -3y + 85y * -3y) 8 + 147y + -255y2 = (-30y + -255y2) Add '255y2' to each side of the equation. 8 + 147y + -255y2 + 255y2 = -30y + -255y2 + 255y2 Combine like terms: -255y2 + 255y2 = 0 8 + 147y + 0 = -30y + -255y2 + 255y2 8 + 147y = -30y + -255y2 + 255y2 Combine like terms: -255y2 + 255y2 = 0 8 + 147y = -30y + 0 8 + 147y = -30y Solving 8 + 147y = -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 8 + 147y + 30y = -30y + 30y Combine like terms: 147y + 30y = 177y 8 + 177y = -30y + 30y Combine like terms: -30y + 30y = 0 8 + 177y = 0 Add '-8' to each side of the equation. 8 + -8 + 177y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 177y = 0 + -8 177y = 0 + -8 Combine like terms: 0 + -8 = -8 177y = -8 Divide each side by '177'. y = -0.04519774011 Simplifying y = -0.04519774011
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