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Simplifying 38 = 2(y + -8) + -8y Reorder the terms: 38 = 2(-8 + y) + -8y 38 = (-8 * 2 + y * 2) + -8y 38 = (-16 + 2y) + -8y Combine like terms: 2y + -8y = -6y 38 = -16 + -6y Solving 38 = -16 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 38 + 6y = -16 + -6y + 6y Combine like terms: -6y + 6y = 0 38 + 6y = -16 + 0 38 + 6y = -16 Add '-38' to each side of the equation. 38 + -38 + 6y = -16 + -38 Combine like terms: 38 + -38 = 0 0 + 6y = -16 + -38 6y = -16 + -38 Combine like terms: -16 + -38 = -54 6y = -54 Divide each side by '6'. y = -9 Simplifying y = -9
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