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Simplifying -1(9y + -15) + 2y = 33 + -16y Reorder the terms: -1(-15 + 9y) + 2y = 33 + -16y (-15 * -1 + 9y * -1) + 2y = 33 + -16y (15 + -9y) + 2y = 33 + -16y Combine like terms: -9y + 2y = -7y 15 + -7y = 33 + -16y Solving 15 + -7y = 33 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 15 + -7y + 16y = 33 + -16y + 16y Combine like terms: -7y + 16y = 9y 15 + 9y = 33 + -16y + 16y Combine like terms: -16y + 16y = 0 15 + 9y = 33 + 0 15 + 9y = 33 Add '-15' to each side of the equation. 15 + -15 + 9y = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 9y = 33 + -15 9y = 33 + -15 Combine like terms: 33 + -15 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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