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Simplifying -3(-1y + -5) + -7(3y + -7) = 2y + 9 + -5y Reorder the terms: -3(-5 + -1y) + -7(3y + -7) = 2y + 9 + -5y (-5 * -3 + -1y * -3) + -7(3y + -7) = 2y + 9 + -5y (15 + 3y) + -7(3y + -7) = 2y + 9 + -5y Reorder the terms: 15 + 3y + -7(-7 + 3y) = 2y + 9 + -5y 15 + 3y + (-7 * -7 + 3y * -7) = 2y + 9 + -5y 15 + 3y + (49 + -21y) = 2y + 9 + -5y Reorder the terms: 15 + 49 + 3y + -21y = 2y + 9 + -5y Combine like terms: 15 + 49 = 64 64 + 3y + -21y = 2y + 9 + -5y Combine like terms: 3y + -21y = -18y 64 + -18y = 2y + 9 + -5y Reorder the terms: 64 + -18y = 9 + 2y + -5y Combine like terms: 2y + -5y = -3y 64 + -18y = 9 + -3y Solving 64 + -18y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 64 + -18y + 3y = 9 + -3y + 3y Combine like terms: -18y + 3y = -15y 64 + -15y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 64 + -15y = 9 + 0 64 + -15y = 9 Add '-64' to each side of the equation. 64 + -64 + -15y = 9 + -64 Combine like terms: 64 + -64 = 0 0 + -15y = 9 + -64 -15y = 9 + -64 Combine like terms: 9 + -64 = -55 -15y = -55 Divide each side by '-15'. y = 3.666666667 Simplifying y = 3.666666667
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