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Simplifying 2(4y + -6) = 4y + 24 Reorder the terms: 2(-6 + 4y) = 4y + 24 (-6 * 2 + 4y * 2) = 4y + 24 (-12 + 8y) = 4y + 24 Reorder the terms: -12 + 8y = 24 + 4y Solving -12 + 8y = 24 + 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. -12 + 8y + -4y = 24 + 4y + -4y Combine like terms: 8y + -4y = 4y -12 + 4y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 4y = 24 + 0 -12 + 4y = 24 Add '12' to each side of the equation. -12 + 12 + 4y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 24 + 12 4y = 24 + 12 Combine like terms: 24 + 12 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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