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Simplifying -2(y + -4y) + 7 = -3(2y + -1y) + 8 + 8y Combine like terms: y + -4y = -3y -2(-3y) + 7 = -3(2y + -1y) + 8 + 8y Remove parenthesis around (-3y) -2 * -3y + 7 = -3(2y + -1y) + 8 + 8y Multiply -2 * -3 6y + 7 = -3(2y + -1y) + 8 + 8y Reorder the terms: 7 + 6y = -3(2y + -1y) + 8 + 8y Combine like terms: 2y + -1y = 1y 7 + 6y = -3(1y) + 8 + 8y Remove parenthesis around (1y) 7 + 6y = -3 * 1y + 8 + 8y Multiply -3 * 1 7 + 6y = -3y + 8 + 8y Reorder the terms: 7 + 6y = 8 + -3y + 8y Combine like terms: -3y + 8y = 5y 7 + 6y = 8 + 5y Solving 7 + 6y = 8 + 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. 7 + 6y + -5y = 8 + 5y + -5y Combine like terms: 6y + -5y = 1y 7 + 1y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 1y = 8 + 0 7 + 1y = 8 Add '-7' to each side of the equation. 7 + -7 + 1y = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 8 + -7 1y = 8 + -7 Combine like terms: 8 + -7 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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