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Simplifying -6(2y + -4) = 3(y + 6) Reorder the terms: -6(-4 + 2y) = 3(y + 6) (-4 * -6 + 2y * -6) = 3(y + 6) (24 + -12y) = 3(y + 6) Reorder the terms: 24 + -12y = 3(6 + y) 24 + -12y = (6 * 3 + y * 3) 24 + -12y = (18 + 3y) Solving 24 + -12y = 18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 24 + -12y + -3y = 18 + 3y + -3y Combine like terms: -12y + -3y = -15y 24 + -15y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -15y = 18 + 0 24 + -15y = 18 Add '-24' to each side of the equation. 24 + -24 + -15y = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -15y = 18 + -24 -15y = 18 + -24 Combine like terms: 18 + -24 = -6 -15y = -6 Divide each side by '-15'. y = 0.4 Simplifying y = 0.4
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