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Simplifying 5(12 + -1y) = 3y + 12 (12 * 5 + -1y * 5) = 3y + 12 (60 + -5y) = 3y + 12 Reorder the terms: 60 + -5y = 12 + 3y Solving 60 + -5y = 12 + 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. 60 + -5y + -3y = 12 + 3y + -3y Combine like terms: -5y + -3y = -8y 60 + -8y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 60 + -8y = 12 + 0 60 + -8y = 12 Add '-60' to each side of the equation. 60 + -60 + -8y = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -8y = 12 + -60 -8y = 12 + -60 Combine like terms: 12 + -60 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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