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Simplifying 2(y + 2) = 9y + -38 Reorder the terms: 2(2 + y) = 9y + -38 (2 * 2 + y * 2) = 9y + -38 (4 + 2y) = 9y + -38 Reorder the terms: 4 + 2y = -38 + 9y Solving 4 + 2y = -38 + 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. 4 + 2y + -9y = -38 + 9y + -9y Combine like terms: 2y + -9y = -7y 4 + -7y = -38 + 9y + -9y Combine like terms: 9y + -9y = 0 4 + -7y = -38 + 0 4 + -7y = -38 Add '-4' to each side of the equation. 4 + -4 + -7y = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = -38 + -4 -7y = -38 + -4 Combine like terms: -38 + -4 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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