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Simplifying 3y + 18 = -4(y + 6) Reorder the terms: 18 + 3y = -4(y + 6) Reorder the terms: 18 + 3y = -4(6 + y) 18 + 3y = (6 * -4 + y * -4) 18 + 3y = (-24 + -4y) Solving 18 + 3y = -24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 18 + 3y + 4y = -24 + -4y + 4y Combine like terms: 3y + 4y = 7y 18 + 7y = -24 + -4y + 4y Combine like terms: -4y + 4y = 0 18 + 7y = -24 + 0 18 + 7y = -24 Add '-18' to each side of the equation. 18 + -18 + 7y = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 7y = -24 + -18 7y = -24 + -18 Combine like terms: -24 + -18 = -42 7y = -42 Divide each side by '7'. y = -6 Simplifying y = -6
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