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Simplifying 35 = -2(23 + -1y) + 3(y + -3) 35 = (23 * -2 + -1y * -2) + 3(y + -3) 35 = (-46 + 2y) + 3(y + -3) Reorder the terms: 35 = -46 + 2y + 3(-3 + y) 35 = -46 + 2y + (-3 * 3 + y * 3) 35 = -46 + 2y + (-9 + 3y) Reorder the terms: 35 = -46 + -9 + 2y + 3y Combine like terms: -46 + -9 = -55 35 = -55 + 2y + 3y Combine like terms: 2y + 3y = 5y 35 = -55 + 5y Solving 35 = -55 + 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 + -5y = -55 + 5y + -5y Combine like terms: 5y + -5y = 0 35 + -5y = -55 + 0 35 + -5y = -55 Add '-35' to each side of the equation. 35 + -35 + -5y = -55 + -35 Combine like terms: 35 + -35 = 0 0 + -5y = -55 + -35 -5y = -55 + -35 Combine like terms: -55 + -35 = -90 -5y = -90 Divide each side by '-5'. y = 18 Simplifying y = 18
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