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Simplifying 6y + -9 = -1(y + -12) Reorder the terms: -9 + 6y = -1(y + -12) Reorder the terms: -9 + 6y = -1(-12 + y) -9 + 6y = (-12 * -1 + y * -1) -9 + 6y = (12 + -1y) Solving -9 + 6y = 12 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -9 + 6y + y = 12 + -1y + y Combine like terms: 6y + y = 7y -9 + 7y = 12 + -1y + y Combine like terms: -1y + y = 0 -9 + 7y = 12 + 0 -9 + 7y = 12 Add '9' to each side of the equation. -9 + 9 + 7y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7y = 12 + 9 7y = 12 + 9 Combine like terms: 12 + 9 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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