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Simplifying 3(y + -3) = 6(2y + 6) Reorder the terms: 3(-3 + y) = 6(2y + 6) (-3 * 3 + y * 3) = 6(2y + 6) (-9 + 3y) = 6(2y + 6) Reorder the terms: -9 + 3y = 6(6 + 2y) -9 + 3y = (6 * 6 + 2y * 6) -9 + 3y = (36 + 12y) Solving -9 + 3y = 36 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -9 + 3y + -12y = 36 + 12y + -12y Combine like terms: 3y + -12y = -9y -9 + -9y = 36 + 12y + -12y Combine like terms: 12y + -12y = 0 -9 + -9y = 36 + 0 -9 + -9y = 36 Add '9' to each side of the equation. -9 + 9 + -9y = 36 + 9 Combine like terms: -9 + 9 = 0 0 + -9y = 36 + 9 -9y = 36 + 9 Combine like terms: 36 + 9 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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