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Simplifying 12(y + -6) = 3(w + 1) Reorder the terms: 12(-6 + y) = 3(w + 1) (-6 * 12 + y * 12) = 3(w + 1) (-72 + 12y) = 3(w + 1) Reorder the terms: -72 + 12y = 3(1 + w) -72 + 12y = (1 * 3 + w * 3) -72 + 12y = (3 + 3w) Solving -72 + 12y = 3 + 3w Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 12y = 3 + 72 + 3w Combine like terms: -72 + 72 = 0 0 + 12y = 3 + 72 + 3w 12y = 3 + 72 + 3w Combine like terms: 3 + 72 = 75 12y = 75 + 3w Divide each side by '12'. y = 6.25 + 0.25w Simplifying y = 6.25 + 0.25w
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