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Simplifying -4(5 + -3y) = 4y + 12 (5 * -4 + -3y * -4) = 4y + 12 (-20 + 12y) = 4y + 12 Reorder the terms: -20 + 12y = 12 + 4y Solving -20 + 12y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -20 + 12y + -4y = 12 + 4y + -4y Combine like terms: 12y + -4y = 8y -20 + 8y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -20 + 8y = 12 + 0 -20 + 8y = 12 Add '20' to each side of the equation. -20 + 20 + 8y = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 8y = 12 + 20 8y = 12 + 20 Combine like terms: 12 + 20 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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