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Simplifying 4(3y + -6) = -6y + 48 Reorder the terms: 4(-6 + 3y) = -6y + 48 (-6 * 4 + 3y * 4) = -6y + 48 (-24 + 12y) = -6y + 48 Reorder the terms: -24 + 12y = 48 + -6y Solving -24 + 12y = 48 + -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 = 48 + -6y + 6y Combine like terms: 12y + 6y = 18y -24 + 18y = 48 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 18y = 48 + 0 -24 + 18y = 48 Add '24' to each side of the equation. -24 + 24 + 18y = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 18y = 48 + 24 18y = 48 + 24 Combine like terms: 48 + 24 = 72 18y = 72 Divide each side by '18'. y = 4 Simplifying y = 4
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