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Simplifying 7(y + 9) = -9y + -33 Reorder the terms: 7(9 + y) = -9y + -33 (9 * 7 + y * 7) = -9y + -33 (63 + 7y) = -9y + -33 Reorder the terms: 63 + 7y = -33 + -9y Solving 63 + 7y = -33 + -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. 63 + 7y + 9y = -33 + -9y + 9y Combine like terms: 7y + 9y = 16y 63 + 16y = -33 + -9y + 9y Combine like terms: -9y + 9y = 0 63 + 16y = -33 + 0 63 + 16y = -33 Add '-63' to each side of the equation. 63 + -63 + 16y = -33 + -63 Combine like terms: 63 + -63 = 0 0 + 16y = -33 + -63 16y = -33 + -63 Combine like terms: -33 + -63 = -96 16y = -96 Divide each side by '16'. y = -6 Simplifying y = -6
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