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Simplifying -5(y + 9) = 7y + 27 Reorder the terms: -5(9 + y) = 7y + 27 (9 * -5 + y * -5) = 7y + 27 (-45 + -5y) = 7y + 27 Reorder the terms: -45 + -5y = 27 + 7y Solving -45 + -5y = 27 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -45 + -5y + -7y = 27 + 7y + -7y Combine like terms: -5y + -7y = -12y -45 + -12y = 27 + 7y + -7y Combine like terms: 7y + -7y = 0 -45 + -12y = 27 + 0 -45 + -12y = 27 Add '45' to each side of the equation. -45 + 45 + -12y = 27 + 45 Combine like terms: -45 + 45 = 0 0 + -12y = 27 + 45 -12y = 27 + 45 Combine like terms: 27 + 45 = 72 -12y = 72 Divide each side by '-12'. y = -6 Simplifying y = -6
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