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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 = 12y -12 + 12y = 24 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 12y = 24 + 0 -12 + 12y = 24 Add '12' to each side of the equation. -12 + 12 + 12y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12y = 24 + 12 12y = 24 + 12 Combine like terms: 24 + 12 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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