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Simplifying -4(y + -3y) + 3 = -2(2y + -1y) + 1 + 9y Combine like terms: y + -3y = -2y -4(-2y) + 3 = -2(2y + -1y) + 1 + 9y Remove parenthesis around (-2y) -4 * -2y + 3 = -2(2y + -1y) + 1 + 9y Multiply -4 * -2 8y + 3 = -2(2y + -1y) + 1 + 9y Reorder the terms: 3 + 8y = -2(2y + -1y) + 1 + 9y Combine like terms: 2y + -1y = 1y 3 + 8y = -2(1y) + 1 + 9y Remove parenthesis around (1y) 3 + 8y = -2 * 1y + 1 + 9y Multiply -2 * 1 3 + 8y = -2y + 1 + 9y Reorder the terms: 3 + 8y = 1 + -2y + 9y Combine like terms: -2y + 9y = 7y 3 + 8y = 1 + 7y Solving 3 + 8y = 1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 3 + 8y + -7y = 1 + 7y + -7y Combine like terms: 8y + -7y = 1y 3 + 1y = 1 + 7y + -7y Combine like terms: 7y + -7y = 0 3 + 1y = 1 + 0 3 + 1y = 1 Add '-3' to each side of the equation. 3 + -3 + 1y = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 1 + -3 1y = 1 + -3 Combine like terms: 1 + -3 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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