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Simplifying -4(y + -9) = -2y + 42 Reorder the terms: -4(-9 + y) = -2y + 42 (-9 * -4 + y * -4) = -2y + 42 (36 + -4y) = -2y + 42 Reorder the terms: 36 + -4y = 42 + -2y Solving 36 + -4y = 42 + -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. 36 + -4y + 2y = 42 + -2y + 2y Combine like terms: -4y + 2y = -2y 36 + -2y = 42 + -2y + 2y Combine like terms: -2y + 2y = 0 36 + -2y = 42 + 0 36 + -2y = 42 Add '-36' to each side of the equation. 36 + -36 + -2y = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -2y = 42 + -36 -2y = 42 + -36 Combine like terms: 42 + -36 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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