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Simplifying 3(y + 3) + -2(2y + -4) = 17 Reorder the terms: 3(3 + y) + -2(2y + -4) = 17 (3 * 3 + y * 3) + -2(2y + -4) = 17 (9 + 3y) + -2(2y + -4) = 17 Reorder the terms: 9 + 3y + -2(-4 + 2y) = 17 9 + 3y + (-4 * -2 + 2y * -2) = 17 9 + 3y + (8 + -4y) = 17 Reorder the terms: 9 + 8 + 3y + -4y = 17 Combine like terms: 9 + 8 = 17 17 + 3y + -4y = 17 Combine like terms: 3y + -4y = -1y 17 + -1y = 17 Add '-17' to each side of the equation. 17 + -17 + -1y = 17 + -17 Combine like terms: 17 + -17 = 0 0 + -1y = 17 + -17 -1y = 17 + -17 Combine like terms: 17 + -17 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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