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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 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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