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Simplifying 2(y + 1) + -3y = 3(3 + 2y) Reorder the terms: 2(1 + y) + -3y = 3(3 + 2y) (1 * 2 + y * 2) + -3y = 3(3 + 2y) (2 + 2y) + -3y = 3(3 + 2y) Combine like terms: 2y + -3y = -1y 2 + -1y = 3(3 + 2y) 2 + -1y = (3 * 3 + 2y * 3) 2 + -1y = (9 + 6y) Solving 2 + -1y = 9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + -1y + -6y = 9 + 6y + -6y Combine like terms: -1y + -6y = -7y 2 + -7y = 9 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -7y = 9 + 0 2 + -7y = 9 Add '-2' to each side of the equation. 2 + -2 + -7y = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = 9 + -2 -7y = 9 + -2 Combine like terms: 9 + -2 = 7 -7y = 7 Divide each side by '-7'. y = -1 Simplifying y = -1
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