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Simplifying 6y + 12 = -4(a + -6) Reorder the terms: 12 + 6y = -4(a + -6) Reorder the terms: 12 + 6y = -4(-6 + a) 12 + 6y = (-6 * -4 + a * -4) 12 + 6y = (24 + -4a) Solving 12 + 6y = 24 + -4a 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 + 6y = 24 + -12 + -4a Combine like terms: 12 + -12 = 0 0 + 6y = 24 + -12 + -4a 6y = 24 + -12 + -4a Combine like terms: 24 + -12 = 12 6y = 12 + -4a Divide each side by '6'. y = 2 + -0.6666666667a Simplifying y = 2 + -0.6666666667a
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