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Simplifying 6(5y + -3) = 12y Reorder the terms: 6(-3 + 5y) = 12y (-3 * 6 + 5y * 6) = 12y (-18 + 30y) = 12y Solving -18 + 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. -18 + 30y + -12y = 12y + -12y Combine like terms: 30y + -12y = 18y -18 + 18y = 12y + -12y Combine like terms: 12y + -12y = 0 -18 + 18y = 0 Add '18' to each side of the equation. -18 + 18 + 18y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18y = 0 + 18 18y = 0 + 18 Combine like terms: 0 + 18 = 18 18y = 18 Divide each side by '18'. y = 1 Simplifying y = 1
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