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Simplifying 6(2 + -3y) + -42 = -2(y + -1) (2 * 6 + -3y * 6) + -42 = -2(y + -1) (12 + -18y) + -42 = -2(y + -1) Reorder the terms: 12 + -42 + -18y = -2(y + -1) Combine like terms: 12 + -42 = -30 -30 + -18y = -2(y + -1) Reorder the terms: -30 + -18y = -2(-1 + y) -30 + -18y = (-1 * -2 + y * -2) -30 + -18y = (2 + -2y) Solving -30 + -18y = 2 + -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. -30 + -18y + 2y = 2 + -2y + 2y Combine like terms: -18y + 2y = -16y -30 + -16y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -30 + -16y = 2 + 0 -30 + -16y = 2 Add '30' to each side of the equation. -30 + 30 + -16y = 2 + 30 Combine like terms: -30 + 30 = 0 0 + -16y = 2 + 30 -16y = 2 + 30 Combine like terms: 2 + 30 = 32 -16y = 32 Divide each side by '-16'. y = -2 Simplifying y = -2
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