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Simplifying 4(2y + -1) = 4y + 12 Reorder the terms: 4(-1 + 2y) = 4y + 12 (-1 * 4 + 2y * 4) = 4y + 12 (-4 + 8y) = 4y + 12 Reorder the terms: -4 + 8y = 12 + 4y Solving -4 + 8y = 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. -4 + 8y + -4y = 12 + 4y + -4y Combine like terms: 8y + -4y = 4y -4 + 4y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + 4y = 12 + 0 -4 + 4y = 12 Add '4' to each side of the equation. -4 + 4 + 4y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 12 + 4 4y = 12 + 4 Combine like terms: 12 + 4 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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