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Simplifying 2(6y + -9) + 6 = 3y + -2 Reorder the terms: 2(-9 + 6y) + 6 = 3y + -2 (-9 * 2 + 6y * 2) + 6 = 3y + -2 (-18 + 12y) + 6 = 3y + -2 Reorder the terms: -18 + 6 + 12y = 3y + -2 Combine like terms: -18 + 6 = -12 -12 + 12y = 3y + -2 Reorder the terms: -12 + 12y = -2 + 3y Solving -12 + 12y = -2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 12y + -3y = -2 + 3y + -3y Combine like terms: 12y + -3y = 9y -12 + 9y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 9y = -2 + 0 -12 + 9y = -2 Add '12' to each side of the equation. -12 + 12 + 9y = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = -2 + 12 9y = -2 + 12 Combine like terms: -2 + 12 = 10 9y = 10 Divide each side by '9'. y = 1.111111111 Simplifying y = 1.111111111
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