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Simplifying -4(3y + 2) = 3(6y + -6) Reorder the terms: -4(2 + 3y) = 3(6y + -6) (2 * -4 + 3y * -4) = 3(6y + -6) (-8 + -12y) = 3(6y + -6) Reorder the terms: -8 + -12y = 3(-6 + 6y) -8 + -12y = (-6 * 3 + 6y * 3) -8 + -12y = (-18 + 18y) Solving -8 + -12y = -18 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -8 + -12y + -18y = -18 + 18y + -18y Combine like terms: -12y + -18y = -30y -8 + -30y = -18 + 18y + -18y Combine like terms: 18y + -18y = 0 -8 + -30y = -18 + 0 -8 + -30y = -18 Add '8' to each side of the equation. -8 + 8 + -30y = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -30y = -18 + 8 -30y = -18 + 8 Combine like terms: -18 + 8 = -10 -30y = -10 Divide each side by '-30'. y = 0.3333333333 Simplifying y = 0.3333333333
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