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Simplifying -12 + 2y = -5(y + -6) Reorder the terms: -12 + 2y = -5(-6 + y) -12 + 2y = (-6 * -5 + y * -5) -12 + 2y = (30 + -5y) Solving -12 + 2y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -12 + 2y + 5y = 30 + -5y + 5y Combine like terms: 2y + 5y = 7y -12 + 7y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 7y = 30 + 0 -12 + 7y = 30 Add '12' to each side of the equation. -12 + 12 + 7y = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 7y = 30 + 12 7y = 30 + 12 Combine like terms: 30 + 12 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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