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Simplifying 3(2y + -6) + -1(2y + 4) = 0 Reorder the terms: 3(-6 + 2y) + -1(2y + 4) = 0 (-6 * 3 + 2y * 3) + -1(2y + 4) = 0 (-18 + 6y) + -1(2y + 4) = 0 Reorder the terms: -18 + 6y + -1(4 + 2y) = 0 -18 + 6y + (4 * -1 + 2y * -1) = 0 -18 + 6y + (-4 + -2y) = 0 Reorder the terms: -18 + -4 + 6y + -2y = 0 Combine like terms: -18 + -4 = -22 -22 + 6y + -2y = 0 Combine like terms: 6y + -2y = 4y -22 + 4y = 0 Solving -22 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 4y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 4y = 0 + 22 4y = 0 + 22 Combine like terms: 0 + 22 = 22 4y = 22 Divide each side by '4'. y = 5.5 Simplifying y = 5.5
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