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Simplifying 6(8 + 3y) = -2(y + -4) (8 * 6 + 3y * 6) = -2(y + -4) (48 + 18y) = -2(y + -4) Reorder the terms: 48 + 18y = -2(-4 + y) 48 + 18y = (-4 * -2 + y * -2) 48 + 18y = (8 + -2y) Solving 48 + 18y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 48 + 18y + 2y = 8 + -2y + 2y Combine like terms: 18y + 2y = 20y 48 + 20y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 48 + 20y = 8 + 0 48 + 20y = 8 Add '-48' to each side of the equation. 48 + -48 + 20y = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 20y = 8 + -48 20y = 8 + -48 Combine like terms: 8 + -48 = -40 20y = -40 Divide each side by '20'. y = -2 Simplifying y = -2
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