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