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