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Simplifying 5y + 38 = -2(y + 9) Reorder the terms: 38 + 5y = -2(y + 9) Reorder the terms: 38 + 5y = -2(9 + y) 38 + 5y = (9 * -2 + y * -2) 38 + 5y = (-18 + -2y) Solving 38 + 5y = -18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 38 + 5y + 2y = -18 + -2y + 2y Combine like terms: 5y + 2y = 7y 38 + 7y = -18 + -2y + 2y Combine like terms: -2y + 2y = 0 38 + 7y = -18 + 0 38 + 7y = -18 Add '-38' to each side of the equation. 38 + -38 + 7y = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 7y = -18 + -38 7y = -18 + -38 Combine like terms: -18 + -38 = -56 7y = -56 Divide each side by '7'. y = -8 Simplifying y = -8
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