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Simplifying 9y + 3(y + 6) = 15y + 21 Reorder the terms: 9y + 3(6 + y) = 15y + 21 9y + (6 * 3 + y * 3) = 15y + 21 9y + (18 + 3y) = 15y + 21 Reorder the terms: 18 + 9y + 3y = 15y + 21 Combine like terms: 9y + 3y = 12y 18 + 12y = 15y + 21 Reorder the terms: 18 + 12y = 21 + 15y Solving 18 + 12y = 21 + 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 + 12y + -15y = 21 + 15y + -15y Combine like terms: 12y + -15y = -3y 18 + -3y = 21 + 15y + -15y Combine like terms: 15y + -15y = 0 18 + -3y = 21 + 0 18 + -3y = 21 Add '-18' to each side of the equation. 18 + -18 + -3y = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -3y = 21 + -18 -3y = 21 + -18 Combine like terms: 21 + -18 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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