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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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