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Simplifying -2(y + -8) = -9y + -47 Reorder the terms: -2(-8 + y) = -9y + -47 (-8 * -2 + y * -2) = -9y + -47 (16 + -2y) = -9y + -47 Reorder the terms: 16 + -2y = -47 + -9y Solving 16 + -2y = -47 + -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. 16 + -2y + 9y = -47 + -9y + 9y Combine like terms: -2y + 9y = 7y 16 + 7y = -47 + -9y + 9y Combine like terms: -9y + 9y = 0 16 + 7y = -47 + 0 16 + 7y = -47 Add '-16' to each side of the equation. 16 + -16 + 7y = -47 + -16 Combine like terms: 16 + -16 = 0 0 + 7y = -47 + -16 7y = -47 + -16 Combine like terms: -47 + -16 = -63 7y = -63 Divide each side by '7'. y = -9 Simplifying y = -9
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