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Simplifying 4(y + 2) + -3(1 + -1y) = y + 2 Reorder the terms: 4(2 + y) + -3(1 + -1y) = y + 2 (2 * 4 + y * 4) + -3(1 + -1y) = y + 2 (8 + 4y) + -3(1 + -1y) = y + 2 8 + 4y + (1 * -3 + -1y * -3) = y + 2 8 + 4y + (-3 + 3y) = y + 2 Reorder the terms: 8 + -3 + 4y + 3y = y + 2 Combine like terms: 8 + -3 = 5 5 + 4y + 3y = y + 2 Combine like terms: 4y + 3y = 7y 5 + 7y = y + 2 Reorder the terms: 5 + 7y = 2 + y Solving 5 + 7y = 2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 5 + 7y + -1y = 2 + y + -1y Combine like terms: 7y + -1y = 6y 5 + 6y = 2 + y + -1y Combine like terms: y + -1y = 0 5 + 6y = 2 + 0 5 + 6y = 2 Add '-5' to each side of the equation. 5 + -5 + 6y = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 2 + -5 6y = 2 + -5 Combine like terms: 2 + -5 = -3 6y = -3 Divide each side by '6'. y = -0.5 Simplifying y = -0.5
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