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Simplifying 4(3y + -6) = 2(-3y + 15) Reorder the terms: 4(-6 + 3y) = 2(-3y + 15) (-6 * 4 + 3y * 4) = 2(-3y + 15) (-24 + 12y) = 2(-3y + 15) Reorder the terms: -24 + 12y = 2(15 + -3y) -24 + 12y = (15 * 2 + -3y * 2) -24 + 12y = (30 + -6y) Solving -24 + 12y = 30 + -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 + 12y + 6y = 30 + -6y + 6y Combine like terms: 12y + 6y = 18y -24 + 18y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 18y = 30 + 0 -24 + 18y = 30 Add '24' to each side of the equation. -24 + 24 + 18y = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 18y = 30 + 24 18y = 30 + 24 Combine like terms: 30 + 24 = 54 18y = 54 Divide each side by '18'. y = 3 Simplifying y = 3
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