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