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Simplifying 3(3y + -1) = 4(3 + 3y) Reorder the terms: 3(-1 + 3y) = 4(3 + 3y) (-1 * 3 + 3y * 3) = 4(3 + 3y) (-3 + 9y) = 4(3 + 3y) -3 + 9y = (3 * 4 + 3y * 4) -3 + 9y = (12 + 12y) Solving -3 + 9y = 12 + 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. -3 + 9y + -12y = 12 + 12y + -12y Combine like terms: 9y + -12y = -3y -3 + -3y = 12 + 12y + -12y Combine like terms: 12y + -12y = 0 -3 + -3y = 12 + 0 -3 + -3y = 12 Add '3' to each side of the equation. -3 + 3 + -3y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3y = 12 + 3 -3y = 12 + 3 Combine like terms: 12 + 3 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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