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Simplifying -8y + 33 = 9(y + -2) Reorder the terms: 33 + -8y = 9(y + -2) Reorder the terms: 33 + -8y = 9(-2 + y) 33 + -8y = (-2 * 9 + y * 9) 33 + -8y = (-18 + 9y) Solving 33 + -8y = -18 + 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. 33 + -8y + -9y = -18 + 9y + -9y Combine like terms: -8y + -9y = -17y 33 + -17y = -18 + 9y + -9y Combine like terms: 9y + -9y = 0 33 + -17y = -18 + 0 33 + -17y = -18 Add '-33' to each side of the equation. 33 + -33 + -17y = -18 + -33 Combine like terms: 33 + -33 = 0 0 + -17y = -18 + -33 -17y = -18 + -33 Combine like terms: -18 + -33 = -51 -17y = -51 Divide each side by '-17'. y = 3 Simplifying y = 3
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