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Simplifying 5 + 4(y + -1) = 3(2 + y) Reorder the terms: 5 + 4(-1 + y) = 3(2 + y) 5 + (-1 * 4 + y * 4) = 3(2 + y) 5 + (-4 + 4y) = 3(2 + y) Combine like terms: 5 + -4 = 1 1 + 4y = 3(2 + y) 1 + 4y = (2 * 3 + y * 3) 1 + 4y = (6 + 3y) Solving 1 + 4y = 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. 1 + 4y + -3y = 6 + 3y + -3y Combine like terms: 4y + -3y = 1y 1 + 1y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + 1y = 6 + 0 1 + 1y = 6 Add '-1' to each side of the equation. 1 + -1 + 1y = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 6 + -1 1y = 6 + -1 Combine like terms: 6 + -1 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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