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Simplifying 2y + (-1y + 8) = (2 + -1 + 3)(y + 4) Reorder the terms: 2y + (8 + -1y) = (2 + -1 + 3)(y + 4) Remove parenthesis around (8 + -1y) 2y + 8 + -1y = (2 + -1 + 3)(y + 4) Reorder the terms: 8 + 2y + -1y = (2 + -1 + 3)(y + 4) Combine like terms: 2y + -1y = 1y 8 + 1y = (2 + -1 + 3)(y + 4) Combine like terms: 2 + -1 = 1 8 + 1y = (1 + 3)(y + 4) Combine like terms: 1 + 3 = 4 8 + 1y = (4)(y + 4) Reorder the terms: 8 + 1y = 4(4 + y) 8 + 1y = (4 * 4 + y * 4) 8 + 1y = (16 + 4y) Solving 8 + 1y = 16 + 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 + 1y + -4y = 16 + 4y + -4y Combine like terms: 1y + -4y = -3y 8 + -3y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -3y = 16 + 0 8 + -3y = 16 Add '-8' to each side of the equation. 8 + -8 + -3y = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 16 + -8 -3y = 16 + -8 Combine like terms: 16 + -8 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667
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