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Simplifying 5 + -1(y + -4) = 3(y + 2) Reorder the terms: 5 + -1(-4 + y) = 3(y + 2) 5 + (-4 * -1 + y * -1) = 3(y + 2) 5 + (4 + -1y) = 3(y + 2) Combine like terms: 5 + 4 = 9 9 + -1y = 3(y + 2) Reorder the terms: 9 + -1y = 3(2 + y) 9 + -1y = (2 * 3 + y * 3) 9 + -1y = (6 + 3y) Solving 9 + -1y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 9 + -1y + -3y = 6 + 3y + -3y Combine like terms: -1y + -3y = -4y 9 + -4y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + -4y = 6 + 0 9 + -4y = 6 Add '-9' to each side of the equation. 9 + -9 + -4y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 6 + -9 -4y = 6 + -9 Combine like terms: 6 + -9 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75
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