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Simplifying -5(2y + 7) + 8y = 3(y + -1) + 2y Reorder the terms: -5(7 + 2y) + 8y = 3(y + -1) + 2y (7 * -5 + 2y * -5) + 8y = 3(y + -1) + 2y (-35 + -10y) + 8y = 3(y + -1) + 2y Combine like terms: -10y + 8y = -2y -35 + -2y = 3(y + -1) + 2y Reorder the terms: -35 + -2y = 3(-1 + y) + 2y -35 + -2y = (-1 * 3 + y * 3) + 2y -35 + -2y = (-3 + 3y) + 2y Combine like terms: 3y + 2y = 5y -35 + -2y = -3 + 5y Solving -35 + -2y = -3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -35 + -2y + -5y = -3 + 5y + -5y Combine like terms: -2y + -5y = -7y -35 + -7y = -3 + 5y + -5y Combine like terms: 5y + -5y = 0 -35 + -7y = -3 + 0 -35 + -7y = -3 Add '35' to each side of the equation. -35 + 35 + -7y = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -7y = -3 + 35 -7y = -3 + 35 Combine like terms: -3 + 35 = 32 -7y = 32 Divide each side by '-7'. y = -4.571428571 Simplifying y = -4.571428571
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