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Simplifying 4(5y + -6) = 12y Reorder the terms: 4(-6 + 5y) = 12y (-6 * 4 + 5y * 4) = 12y (-24 + 20y) = 12y Solving -24 + 20y = 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -24 + 20y + -12y = 12y + -12y Combine like terms: 20y + -12y = 8y -24 + 8y = 12y + -12y Combine like terms: 12y + -12y = 0 -24 + 8y = 0 Add '24' to each side of the equation. -24 + 24 + 8y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8y = 0 + 24 8y = 0 + 24 Combine like terms: 0 + 24 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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