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Simplifying 4(3y + -6) = 8y + 4 Reorder the terms: 4(-6 + 3y) = 8y + 4 (-6 * 4 + 3y * 4) = 8y + 4 (-24 + 12y) = 8y + 4 Reorder the terms: -24 + 12y = 4 + 8y Solving -24 + 12y = 4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -24 + 12y + -8y = 4 + 8y + -8y Combine like terms: 12y + -8y = 4y -24 + 4y = 4 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + 4y = 4 + 0 -24 + 4y = 4 Add '24' to each side of the equation. -24 + 24 + 4y = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = 4 + 24 4y = 4 + 24 Combine like terms: 4 + 24 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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