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Simplifying 3(y + 4) + 2(y + -2) = 4y + -5 Reorder the terms: 3(4 + y) + 2(y + -2) = 4y + -5 (4 * 3 + y * 3) + 2(y + -2) = 4y + -5 (12 + 3y) + 2(y + -2) = 4y + -5 Reorder the terms: 12 + 3y + 2(-2 + y) = 4y + -5 12 + 3y + (-2 * 2 + y * 2) = 4y + -5 12 + 3y + (-4 + 2y) = 4y + -5 Reorder the terms: 12 + -4 + 3y + 2y = 4y + -5 Combine like terms: 12 + -4 = 8 8 + 3y + 2y = 4y + -5 Combine like terms: 3y + 2y = 5y 8 + 5y = 4y + -5 Reorder the terms: 8 + 5y = -5 + 4y Solving 8 + 5y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 5y + -4y = -5 + 4y + -4y Combine like terms: 5y + -4y = 1y 8 + 1y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 1y = -5 + 0 8 + 1y = -5 Add '-8' to each side of the equation. 8 + -8 + 1y = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = -5 + -8 1y = -5 + -8 Combine like terms: -5 + -8 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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