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Simplifying 9(2y + -4) + -2(7y + -12) = 0 Reorder the terms: 9(-4 + 2y) + -2(7y + -12) = 0 (-4 * 9 + 2y * 9) + -2(7y + -12) = 0 (-36 + 18y) + -2(7y + -12) = 0 Reorder the terms: -36 + 18y + -2(-12 + 7y) = 0 -36 + 18y + (-12 * -2 + 7y * -2) = 0 -36 + 18y + (24 + -14y) = 0 Reorder the terms: -36 + 24 + 18y + -14y = 0 Combine like terms: -36 + 24 = -12 -12 + 18y + -14y = 0 Combine like terms: 18y + -14y = 4y -12 + 4y = 0 Solving -12 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 0 + 12 4y = 0 + 12 Combine like terms: 0 + 12 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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