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Simplifying -2(y + -6) = 7y + -42 Reorder the terms: -2(-6 + y) = 7y + -42 (-6 * -2 + y * -2) = 7y + -42 (12 + -2y) = 7y + -42 Reorder the terms: 12 + -2y = -42 + 7y Solving 12 + -2y = -42 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 12 + -2y + -7y = -42 + 7y + -7y Combine like terms: -2y + -7y = -9y 12 + -9y = -42 + 7y + -7y Combine like terms: 7y + -7y = 0 12 + -9y = -42 + 0 12 + -9y = -42 Add '-12' to each side of the equation. 12 + -12 + -9y = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = -42 + -12 -9y = -42 + -12 Combine like terms: -42 + -12 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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