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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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