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Simplifying 4(6 + -3y) = 2(15y + 12) (6 * 4 + -3y * 4) = 2(15y + 12) (24 + -12y) = 2(15y + 12) Reorder the terms: 24 + -12y = 2(12 + 15y) 24 + -12y = (12 * 2 + 15y * 2) 24 + -12y = (24 + 30y) Add '-24' to each side of the equation. 24 + -24 + -12y = 24 + -24 + 30y Combine like terms: 24 + -24 = 0 0 + -12y = 24 + -24 + 30y -12y = 24 + -24 + 30y Combine like terms: 24 + -24 = 0 -12y = 0 + 30y -12y = 30y Solving -12y = 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -12y + -30y = 30y + -30y Combine like terms: -12y + -30y = -42y -42y = 30y + -30y Combine like terms: 30y + -30y = 0 -42y = 0 Divide each side by '-42'. y = 0 Simplifying y = 0
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