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Simplifying 4(y + 2) + -3(y + 1) = -1 Reorder the terms: 4(2 + y) + -3(y + 1) = -1 (2 * 4 + y * 4) + -3(y + 1) = -1 (8 + 4y) + -3(y + 1) = -1 Reorder the terms: 8 + 4y + -3(1 + y) = -1 8 + 4y + (1 * -3 + y * -3) = -1 8 + 4y + (-3 + -3y) = -1 Reorder the terms: 8 + -3 + 4y + -3y = -1 Combine like terms: 8 + -3 = 5 5 + 4y + -3y = -1 Combine like terms: 4y + -3y = 1y 5 + 1y = -1 Solving 5 + 1y = -1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1y = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = -1 + -5 1y = -1 + -5 Combine like terms: -1 + -5 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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