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Simplifying -3(-20y + 20) = 4(-6 + 12y) Reorder the terms: -3(20 + -20y) = 4(-6 + 12y) (20 * -3 + -20y * -3) = 4(-6 + 12y) (-60 + 60y) = 4(-6 + 12y) -60 + 60y = (-6 * 4 + 12y * 4) -60 + 60y = (-24 + 48y) Solving -60 + 60y = -24 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. -60 + 60y + -48y = -24 + 48y + -48y Combine like terms: 60y + -48y = 12y -60 + 12y = -24 + 48y + -48y Combine like terms: 48y + -48y = 0 -60 + 12y = -24 + 0 -60 + 12y = -24 Add '60' to each side of the equation. -60 + 60 + 12y = -24 + 60 Combine like terms: -60 + 60 = 0 0 + 12y = -24 + 60 12y = -24 + 60 Combine like terms: -24 + 60 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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