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Simplifying 3y + -18 = -9(y + -6) Reorder the terms: -18 + 3y = -9(y + -6) Reorder the terms: -18 + 3y = -9(-6 + y) -18 + 3y = (-6 * -9 + y * -9) -18 + 3y = (54 + -9y) Solving -18 + 3y = 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. -18 + 3y + 9y = 54 + -9y + 9y Combine like terms: 3y + 9y = 12y -18 + 12y = 54 + -9y + 9y Combine like terms: -9y + 9y = 0 -18 + 12y = 54 + 0 -18 + 12y = 54 Add '18' to each side of the equation. -18 + 18 + 12y = 54 + 18 Combine like terms: -18 + 18 = 0 0 + 12y = 54 + 18 12y = 54 + 18 Combine like terms: 54 + 18 = 72 12y = 72 Divide each side by '12'. y = 6 Simplifying y = 6
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