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Simplifying 8(y + -9) = 6(2c + -12) + -4 Reorder the terms: 8(-9 + y) = 6(2c + -12) + -4 (-9 * 8 + y * 8) = 6(2c + -12) + -4 (-72 + 8y) = 6(2c + -12) + -4 Reorder the terms: -72 + 8y = 6(-12 + 2c) + -4 -72 + 8y = (-12 * 6 + 2c * 6) + -4 -72 + 8y = (-72 + 12c) + -4 Reorder the terms: -72 + 8y = -72 + -4 + 12c Combine like terms: -72 + -4 = -76 -72 + 8y = -76 + 12c Solving -72 + 8y = -76 + 12c Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 8y = -76 + 72 + 12c Combine like terms: -72 + 72 = 0 0 + 8y = -76 + 72 + 12c 8y = -76 + 72 + 12c Combine like terms: -76 + 72 = -4 8y = -4 + 12c Divide each side by '8'. y = -0.5 + 1.5c Simplifying y = -0.5 + 1.5c
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