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Simplifying 38 = -5y + 7(y + 8) Reorder the terms: 38 = -5y + 7(8 + y) 38 = -5y + (8 * 7 + y * 7) 38 = -5y + (56 + 7y) Reorder the terms: 38 = 56 + -5y + 7y Combine like terms: -5y + 7y = 2y 38 = 56 + 2y Solving 38 = 56 + 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 + -2y = 56 + 2y + -2y Combine like terms: 2y + -2y = 0 38 + -2y = 56 + 0 38 + -2y = 56 Add '-38' to each side of the equation. 38 + -38 + -2y = 56 + -38 Combine like terms: 38 + -38 = 0 0 + -2y = 56 + -38 -2y = 56 + -38 Combine like terms: 56 + -38 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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