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Simplifying -2(y + 6) = -9y + -47 Reorder the terms: -2(6 + y) = -9y + -47 (6 * -2 + y * -2) = -9y + -47 (-12 + -2y) = -9y + -47 Reorder the terms: -12 + -2y = -47 + -9y Solving -12 + -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. -12 + -2y + 9y = -47 + -9y + 9y Combine like terms: -2y + 9y = 7y -12 + 7y = -47 + -9y + 9y Combine like terms: -9y + 9y = 0 -12 + 7y = -47 + 0 -12 + 7y = -47 Add '12' to each side of the equation. -12 + 12 + 7y = -47 + 12 Combine like terms: -12 + 12 = 0 0 + 7y = -47 + 12 7y = -47 + 12 Combine like terms: -47 + 12 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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