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Simplifying 38 = 2(y + -8) + 7y Reorder the terms: 38 = 2(-8 + y) + 7y 38 = (-8 * 2 + y * 2) + 7y 38 = (-16 + 2y) + 7y Combine like terms: 2y + 7y = 9y 38 = -16 + 9y Solving 38 = -16 + 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. 38 + -9y = -16 + 9y + -9y Combine like terms: 9y + -9y = 0 38 + -9y = -16 + 0 38 + -9y = -16 Add '-38' to each side of the equation. 38 + -38 + -9y = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -9y = -16 + -38 -9y = -16 + -38 Combine like terms: -16 + -38 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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