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Simplifying 6(2y + -3) + -1(2y + 2) = 0 Reorder the terms: 6(-3 + 2y) + -1(2y + 2) = 0 (-3 * 6 + 2y * 6) + -1(2y + 2) = 0 (-18 + 12y) + -1(2y + 2) = 0 Reorder the terms: -18 + 12y + -1(2 + 2y) = 0 -18 + 12y + (2 * -1 + 2y * -1) = 0 -18 + 12y + (-2 + -2y) = 0 Reorder the terms: -18 + -2 + 12y + -2y = 0 Combine like terms: -18 + -2 = -20 -20 + 12y + -2y = 0 Combine like terms: 12y + -2y = 10y -20 + 10y = 0 Solving -20 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 10y = 0 + 20 10y = 0 + 20 Combine like terms: 0 + 20 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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