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Simplifying -3(y + -2y) + 8 = -4(5y + -1y) + 5 + 18y Combine like terms: y + -2y = -1y -3(-1y) + 8 = -4(5y + -1y) + 5 + 18y Remove parenthesis around (-1y) -3 * -1y + 8 = -4(5y + -1y) + 5 + 18y Multiply -3 * -1 3y + 8 = -4(5y + -1y) + 5 + 18y Reorder the terms: 8 + 3y = -4(5y + -1y) + 5 + 18y Combine like terms: 5y + -1y = 4y 8 + 3y = -4(4y) + 5 + 18y Remove parenthesis around (4y) 8 + 3y = -4 * 4y + 5 + 18y Multiply -4 * 4 8 + 3y = -16y + 5 + 18y Reorder the terms: 8 + 3y = 5 + -16y + 18y Combine like terms: -16y + 18y = 2y 8 + 3y = 5 + 2y Solving 8 + 3y = 5 + 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. 8 + 3y + -2y = 5 + 2y + -2y Combine like terms: 3y + -2y = 1y 8 + 1y = 5 + 2y + -2y Combine like terms: 2y + -2y = 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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