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