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Simplifying 3y + 18 = -6(y + -9) Reorder the terms: 18 + 3y = -6(y + -9) Reorder the terms: 18 + 3y = -6(-9 + y) 18 + 3y = (-9 * -6 + y * -6) 18 + 3y = (54 + -6y) Solving 18 + 3y = 54 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 18 + 3y + 6y = 54 + -6y + 6y Combine like terms: 3y + 6y = 9y 18 + 9y = 54 + -6y + 6y Combine like terms: -6y + 6y = 0 18 + 9y = 54 + 0 18 + 9y = 54 Add '-18' to each side of the equation. 18 + -18 + 9y = 54 + -18 Combine like terms: 18 + -18 = 0 0 + 9y = 54 + -18 9y = 54 + -18 Combine like terms: 54 + -18 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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