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Simplifying -2(y + -5y) + 8 = -3(4y + -1y) + 5 + 16y Combine like terms: y + -5y = -4y -2(-4y) + 8 = -3(4y + -1y) + 5 + 16y Remove parenthesis around (-4y) -2 * -4y + 8 = -3(4y + -1y) + 5 + 16y Multiply -2 * -4 8y + 8 = -3(4y + -1y) + 5 + 16y Reorder the terms: 8 + 8y = -3(4y + -1y) + 5 + 16y Combine like terms: 4y + -1y = 3y 8 + 8y = -3(3y) + 5 + 16y Remove parenthesis around (3y) 8 + 8y = -3 * 3y + 5 + 16y Multiply -3 * 3 8 + 8y = -9y + 5 + 16y Reorder the terms: 8 + 8y = 5 + -9y + 16y Combine like terms: -9y + 16y = 7y 8 + 8y = 5 + 7y Solving 8 + 8y = 5 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8 + 8y + -7y = 5 + 7y + -7y Combine like terms: 8y + -7y = 1y 8 + 1y = 5 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + 1y = 5 + 0 8 + 1y = 5 Add '-8' to each side of the equation. 8 + -8 + 1y = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 5 + -8 1y = 5 + -8 Combine like terms: 5 + -8 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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