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Simplifying 6(y + 3) = 7y + -9 Reorder the terms: 6(3 + y) = 7y + -9 (3 * 6 + y * 6) = 7y + -9 (18 + 6y) = 7y + -9 Reorder the terms: 18 + 6y = -9 + 7y Solving 18 + 6y = -9 + 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. 18 + 6y + -7y = -9 + 7y + -7y Combine like terms: 6y + -7y = -1y 18 + -1y = -9 + 7y + -7y Combine like terms: 7y + -7y = 0 18 + -1y = -9 + 0 18 + -1y = -9 Add '-18' to each side of the equation. 18 + -18 + -1y = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = -9 + -18 -1y = -9 + -18 Combine like terms: -9 + -18 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27
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