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Simplifying 2(3y + -4) + -3(2y + -1) = 6(2y + 1) Reorder the terms: 2(-4 + 3y) + -3(2y + -1) = 6(2y + 1) (-4 * 2 + 3y * 2) + -3(2y + -1) = 6(2y + 1) (-8 + 6y) + -3(2y + -1) = 6(2y + 1) Reorder the terms: -8 + 6y + -3(-1 + 2y) = 6(2y + 1) -8 + 6y + (-1 * -3 + 2y * -3) = 6(2y + 1) -8 + 6y + (3 + -6y) = 6(2y + 1) Reorder the terms: -8 + 3 + 6y + -6y = 6(2y + 1) Combine like terms: -8 + 3 = -5 -5 + 6y + -6y = 6(2y + 1) Combine like terms: 6y + -6y = 0 -5 + 0 = 6(2y + 1) -5 = 6(2y + 1) Reorder the terms: -5 = 6(1 + 2y) -5 = (1 * 6 + 2y * 6) -5 = (6 + 12y) Solving -5 = 6 + 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. -5 + -12y = 6 + 12y + -12y Combine like terms: 12y + -12y = 0 -5 + -12y = 6 + 0 -5 + -12y = 6 Add '5' to each side of the equation. -5 + 5 + -12y = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -12y = 6 + 5 -12y = 6 + 5 Combine like terms: 6 + 5 = 11 -12y = 11 Divide each side by '-12'. y = -0.9166666667 Simplifying y = -0.9166666667
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