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Simplifying 4(3y + -2) = 3(3y + 1) Reorder the terms: 4(-2 + 3y) = 3(3y + 1) (-2 * 4 + 3y * 4) = 3(3y + 1) (-8 + 12y) = 3(3y + 1) Reorder the terms: -8 + 12y = 3(1 + 3y) -8 + 12y = (1 * 3 + 3y * 3) -8 + 12y = (3 + 9y) Solving -8 + 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. -8 + 12y + -9y = 3 + 9y + -9y Combine like terms: 12y + -9y = 3y -8 + 3y = 3 + 9y + -9y Combine like terms: 9y + -9y = 0 -8 + 3y = 3 + 0 -8 + 3y = 3 Add '8' to each side of the equation. -8 + 8 + 3y = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 3 + 8 3y = 3 + 8 Combine like terms: 3 + 8 = 11 3y = 11 Divide each side by '3'. y = 3.666666667 Simplifying y = 3.666666667
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