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Simplifying 6y + -6 = -9(y + 9) Reorder the terms: -6 + 6y = -9(y + 9) Reorder the terms: -6 + 6y = -9(9 + y) -6 + 6y = (9 * -9 + y * -9) -6 + 6y = (-81 + -9y) Solving -6 + 6y = -81 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -6 + 6y + 9y = -81 + -9y + 9y Combine like terms: 6y + 9y = 15y -6 + 15y = -81 + -9y + 9y Combine like terms: -9y + 9y = 0 -6 + 15y = -81 + 0 -6 + 15y = -81 Add '6' to each side of the equation. -6 + 6 + 15y = -81 + 6 Combine like terms: -6 + 6 = 0 0 + 15y = -81 + 6 15y = -81 + 6 Combine like terms: -81 + 6 = -75 15y = -75 Divide each side by '15'. y = -5 Simplifying y = -5
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