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Simplifying 3(2y + -1) = 8(6 + y) Reorder the terms: 3(-1 + 2y) = 8(6 + y) (-1 * 3 + 2y * 3) = 8(6 + y) (-3 + 6y) = 8(6 + y) -3 + 6y = (6 * 8 + y * 8) -3 + 6y = (48 + 8y) Solving -3 + 6y = 48 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -3 + 6y + -8y = 48 + 8y + -8y Combine like terms: 6y + -8y = -2y -3 + -2y = 48 + 8y + -8y Combine like terms: 8y + -8y = 0 -3 + -2y = 48 + 0 -3 + -2y = 48 Add '3' to each side of the equation. -3 + 3 + -2y = 48 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 48 + 3 -2y = 48 + 3 Combine like terms: 48 + 3 = 51 -2y = 51 Divide each side by '-2'. y = -25.5 Simplifying y = -25.5
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