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Simplifying 9y + -1(6 + 12y) = 2 + y 9y + (6 * -1 + 12y * -1) = 2 + y 9y + (-6 + -12y) = 2 + y Reorder the terms: -6 + 9y + -12y = 2 + y Combine like terms: 9y + -12y = -3y -6 + -3y = 2 + y Solving -6 + -3y = 2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -6 + -3y + -1y = 2 + y + -1y Combine like terms: -3y + -1y = -4y -6 + -4y = 2 + y + -1y Combine like terms: y + -1y = 0 -6 + -4y = 2 + 0 -6 + -4y = 2 Add '6' to each side of the equation. -6 + 6 + -4y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4y = 2 + 6 -4y = 2 + 6 Combine like terms: 2 + 6 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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