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Simplifying 5(4 + -1y) + -4(y + 2) = 12 (4 * 5 + -1y * 5) + -4(y + 2) = 12 (20 + -5y) + -4(y + 2) = 12 Reorder the terms: 20 + -5y + -4(2 + y) = 12 20 + -5y + (2 * -4 + y * -4) = 12 20 + -5y + (-8 + -4y) = 12 Reorder the terms: 20 + -8 + -5y + -4y = 12 Combine like terms: 20 + -8 = 12 12 + -5y + -4y = 12 Combine like terms: -5y + -4y = -9y 12 + -9y = 12 Add '-12' to each side of the equation. 12 + -12 + -9y = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = 12 + -12 -9y = 12 + -12 Combine like terms: 12 + -12 = 0 -9y = 0 Solving -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-9'. y = 0 Simplifying y = 0
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