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Simplifying -6y + -30 = -9(y + 1) Reorder the terms: -30 + -6y = -9(y + 1) Reorder the terms: -30 + -6y = -9(1 + y) -30 + -6y = (1 * -9 + y * -9) -30 + -6y = (-9 + -9y) Solving -30 + -6y = -9 + -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. -30 + -6y + 9y = -9 + -9y + 9y Combine like terms: -6y + 9y = 3y -30 + 3y = -9 + -9y + 9y Combine like terms: -9y + 9y = 0 -30 + 3y = -9 + 0 -30 + 3y = -9 Add '30' to each side of the equation. -30 + 30 + 3y = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 3y = -9 + 30 3y = -9 + 30 Combine like terms: -9 + 30 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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