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Simplifying 6(3y + -4) = 2(3y + 10) Reorder the terms: 6(-4 + 3y) = 2(3y + 10) (-4 * 6 + 3y * 6) = 2(3y + 10) (-24 + 18y) = 2(3y + 10) Reorder the terms: -24 + 18y = 2(10 + 3y) -24 + 18y = (10 * 2 + 3y * 2) -24 + 18y = (20 + 6y) Solving -24 + 18y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -24 + 18y + -6y = 20 + 6y + -6y Combine like terms: 18y + -6y = 12y -24 + 12y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -24 + 12y = 20 + 0 -24 + 12y = 20 Add '24' to each side of the equation. -24 + 24 + 12y = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 12y = 20 + 24 12y = 20 + 24 Combine like terms: 20 + 24 = 44 12y = 44 Divide each side by '12'. y = 3.666666667 Simplifying y = 3.666666667
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