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Simplifying -2(y + -2) = 7(5 + -1y) + -9 Reorder the terms: -2(-2 + y) = 7(5 + -1y) + -9 (-2 * -2 + y * -2) = 7(5 + -1y) + -9 (4 + -2y) = 7(5 + -1y) + -9 4 + -2y = (5 * 7 + -1y * 7) + -9 4 + -2y = (35 + -7y) + -9 Reorder the terms: 4 + -2y = 35 + -9 + -7y Combine like terms: 35 + -9 = 26 4 + -2y = 26 + -7y Solving 4 + -2y = 26 + -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. 4 + -2y + 7y = 26 + -7y + 7y Combine like terms: -2y + 7y = 5y 4 + 5y = 26 + -7y + 7y Combine like terms: -7y + 7y = 0 4 + 5y = 26 + 0 4 + 5y = 26 Add '-4' to each side of the equation. 4 + -4 + 5y = 26 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 26 + -4 5y = 26 + -4 Combine like terms: 26 + -4 = 22 5y = 22 Divide each side by '5'. y = 4.4 Simplifying y = 4.4
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