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Simplifying -2(y + -7) = -9y + 42 Reorder the terms: -2(-7 + y) = -9y + 42 (-7 * -2 + y * -2) = -9y + 42 (14 + -2y) = -9y + 42 Reorder the terms: 14 + -2y = 42 + -9y Solving 14 + -2y = 42 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 14 + -2y + 9y = 42 + -9y + 9y Combine like terms: -2y + 9y = 7y 14 + 7y = 42 + -9y + 9y Combine like terms: -9y + 9y = 0 14 + 7y = 42 + 0 14 + 7y = 42 Add '-14' to each side of the equation. 14 + -14 + 7y = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7y = 42 + -14 7y = 42 + -14 Combine like terms: 42 + -14 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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