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Simplifying 6y + -21 = -9(y + -6) Reorder the terms: -21 + 6y = -9(y + -6) Reorder the terms: -21 + 6y = -9(-6 + y) -21 + 6y = (-6 * -9 + y * -9) -21 + 6y = (54 + -9y) Solving -21 + 6y = 54 + -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. -21 + 6y + 9y = 54 + -9y + 9y Combine like terms: 6y + 9y = 15y -21 + 15y = 54 + -9y + 9y Combine like terms: -9y + 9y = 0 -21 + 15y = 54 + 0 -21 + 15y = 54 Add '21' to each side of the equation. -21 + 21 + 15y = 54 + 21 Combine like terms: -21 + 21 = 0 0 + 15y = 54 + 21 15y = 54 + 21 Combine like terms: 54 + 21 = 75 15y = 75 Divide each side by '15'. y = 5 Simplifying y = 5
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