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Simplifying -6(4 + -1y) = 12y (4 * -6 + -1y * -6) = 12y (-24 + 6y) = 12y Solving -24 + 6y = 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 + 6y + -12y = 12y + -12y Combine like terms: 6y + -12y = -6y -24 + -6y = 12y + -12y Combine like terms: 12y + -12y = 0 -24 + -6y = 0 Add '24' to each side of the equation. -24 + 24 + -6y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6y = 0 + 24 -6y = 0 + 24 Combine like terms: 0 + 24 = 24 -6y = 24 Divide each side by '-6'. y = -4 Simplifying y = -4
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