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Simplifying 3(6 + -2y) + -5(4 + -1y) = -12y (6 * 3 + -2y * 3) + -5(4 + -1y) = -12y (18 + -6y) + -5(4 + -1y) = -12y 18 + -6y + (4 * -5 + -1y * -5) = -12y 18 + -6y + (-20 + 5y) = -12y Reorder the terms: 18 + -20 + -6y + 5y = -12y Combine like terms: 18 + -20 = -2 -2 + -6y + 5y = -12y Combine like terms: -6y + 5y = -1y -2 + -1y = -12y Solving -2 + -1y = -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. -2 + -1y + 12y = -12y + 12y Combine like terms: -1y + 12y = 11y -2 + 11y = -12y + 12y Combine like terms: -12y + 12y = 0 -2 + 11y = 0 Add '2' to each side of the equation. -2 + 2 + 11y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11y = 0 + 2 11y = 0 + 2 Combine like terms: 0 + 2 = 2 11y = 2 Divide each side by '11'. y = 0.1818181818 Simplifying y = 0.1818181818
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