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Simplifying 2(3y + 9) = 15y + -45 Reorder the terms: 2(9 + 3y) = 15y + -45 (9 * 2 + 3y * 2) = 15y + -45 (18 + 6y) = 15y + -45 Reorder the terms: 18 + 6y = -45 + 15y Solving 18 + 6y = -45 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 18 + 6y + -15y = -45 + 15y + -15y Combine like terms: 6y + -15y = -9y 18 + -9y = -45 + 15y + -15y Combine like terms: 15y + -15y = 0 18 + -9y = -45 + 0 18 + -9y = -45 Add '-18' to each side of the equation. 18 + -18 + -9y = -45 + -18 Combine like terms: 18 + -18 = 0 0 + -9y = -45 + -18 -9y = -45 + -18 Combine like terms: -45 + -18 = -63 -9y = -63 Divide each side by '-9'. y = 7 Simplifying y = 7
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