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Simplifying 6(5y + -6) = 12y Reorder the terms: 6(-6 + 5y) = 12y (-6 * 6 + 5y * 6) = 12y (-36 + 30y) = 12y Solving -36 + 30y = 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. -36 + 30y + -12y = 12y + -12y Combine like terms: 30y + -12y = 18y -36 + 18y = 12y + -12y Combine like terms: 12y + -12y = 0 -36 + 18y = 0 Add '36' to each side of the equation. -36 + 36 + 18y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18y = 0 + 36 18y = 0 + 36 Combine like terms: 0 + 36 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
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