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Simplifying 2(9y + -6) + -1(4y + 6) = 0 Reorder the terms: 2(-6 + 9y) + -1(4y + 6) = 0 (-6 * 2 + 9y * 2) + -1(4y + 6) = 0 (-12 + 18y) + -1(4y + 6) = 0 Reorder the terms: -12 + 18y + -1(6 + 4y) = 0 -12 + 18y + (6 * -1 + 4y * -1) = 0 -12 + 18y + (-6 + -4y) = 0 Reorder the terms: -12 + -6 + 18y + -4y = 0 Combine like terms: -12 + -6 = -18 -18 + 18y + -4y = 0 Combine like terms: 18y + -4y = 14y -18 + 14y = 0 Solving -18 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 14y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 14y = 0 + 18 14y = 0 + 18 Combine like terms: 0 + 18 = 18 14y = 18 Divide each side by '14'. y = 1.285714286 Simplifying y = 1.285714286
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