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Simplifying -5(-5y + 7) + -7y = 2(y + -8) + -5 Reorder the terms: -5(7 + -5y) + -7y = 2(y + -8) + -5 (7 * -5 + -5y * -5) + -7y = 2(y + -8) + -5 (-35 + 25y) + -7y = 2(y + -8) + -5 Combine like terms: 25y + -7y = 18y -35 + 18y = 2(y + -8) + -5 Reorder the terms: -35 + 18y = 2(-8 + y) + -5 -35 + 18y = (-8 * 2 + y * 2) + -5 -35 + 18y = (-16 + 2y) + -5 Reorder the terms: -35 + 18y = -16 + -5 + 2y Combine like terms: -16 + -5 = -21 -35 + 18y = -21 + 2y Solving -35 + 18y = -21 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -35 + 18y + -2y = -21 + 2y + -2y Combine like terms: 18y + -2y = 16y -35 + 16y = -21 + 2y + -2y Combine like terms: 2y + -2y = 0 -35 + 16y = -21 + 0 -35 + 16y = -21 Add '35' to each side of the equation. -35 + 35 + 16y = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 16y = -21 + 35 16y = -21 + 35 Combine like terms: -21 + 35 = 14 16y = 14 Divide each side by '16'. y = 0.875 Simplifying y = 0.875
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