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Simplifying -4(y + -2y) + 9 = -3(2y + -1y) + 8 + 6y Combine like terms: y + -2y = -1y -4(-1y) + 9 = -3(2y + -1y) + 8 + 6y Remove parenthesis around (-1y) -4 * -1y + 9 = -3(2y + -1y) + 8 + 6y Multiply -4 * -1 4y + 9 = -3(2y + -1y) + 8 + 6y Reorder the terms: 9 + 4y = -3(2y + -1y) + 8 + 6y Combine like terms: 2y + -1y = 1y 9 + 4y = -3(1y) + 8 + 6y Remove parenthesis around (1y) 9 + 4y = -3 * 1y + 8 + 6y Multiply -3 * 1 9 + 4y = -3y + 8 + 6y Reorder the terms: 9 + 4y = 8 + -3y + 6y Combine like terms: -3y + 6y = 3y 9 + 4y = 8 + 3y Solving 9 + 4y = 8 + 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. 9 + 4y + -3y = 8 + 3y + -3y Combine like terms: 4y + -3y = 1y 9 + 1y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + 1y = 8 + 0 9 + 1y = 8 Add '-9' to each side of the equation. 9 + -9 + 1y = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 8 + -9 1y = 8 + -9 Combine like terms: 8 + -9 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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