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Simplifying 6(2y + -3) = 9y + 3 Reorder the terms: 6(-3 + 2y) = 9y + 3 (-3 * 6 + 2y * 6) = 9y + 3 (-18 + 12y) = 9y + 3 Reorder the terms: -18 + 12y = 3 + 9y Solving -18 + 12y = 3 + 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. -18 + 12y + -9y = 3 + 9y + -9y Combine like terms: 12y + -9y = 3y -18 + 3y = 3 + 9y + -9y Combine like terms: 9y + -9y = 0 -18 + 3y = 3 + 0 -18 + 3y = 3 Add '18' to each side of the equation. -18 + 18 + 3y = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 3 + 18 3y = 3 + 18 Combine like terms: 3 + 18 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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