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Simplifying 18y + -13(-5y + -18) = -18 + -18(18y + -3) + -11(7y + 2) Reorder the terms: 18y + -13(-18 + -5y) = -18 + -18(18y + -3) + -11(7y + 2) 18y + (-18 * -13 + -5y * -13) = -18 + -18(18y + -3) + -11(7y + 2) 18y + (234 + 65y) = -18 + -18(18y + -3) + -11(7y + 2) Reorder the terms: 234 + 18y + 65y = -18 + -18(18y + -3) + -11(7y + 2) Combine like terms: 18y + 65y = 83y 234 + 83y = -18 + -18(18y + -3) + -11(7y + 2) Reorder the terms: 234 + 83y = -18 + -18(-3 + 18y) + -11(7y + 2) 234 + 83y = -18 + (-3 * -18 + 18y * -18) + -11(7y + 2) 234 + 83y = -18 + (54 + -324y) + -11(7y + 2) Reorder the terms: 234 + 83y = -18 + 54 + -324y + -11(2 + 7y) 234 + 83y = -18 + 54 + -324y + (2 * -11 + 7y * -11) 234 + 83y = -18 + 54 + -324y + (-22 + -77y) Reorder the terms: 234 + 83y = -18 + 54 + -22 + -324y + -77y Combine like terms: -18 + 54 = 36 234 + 83y = 36 + -22 + -324y + -77y Combine like terms: 36 + -22 = 14 234 + 83y = 14 + -324y + -77y Combine like terms: -324y + -77y = -401y 234 + 83y = 14 + -401y Solving 234 + 83y = 14 + -401y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '401y' to each side of the equation. 234 + 83y + 401y = 14 + -401y + 401y Combine like terms: 83y + 401y = 484y 234 + 484y = 14 + -401y + 401y Combine like terms: -401y + 401y = 0 234 + 484y = 14 + 0 234 + 484y = 14 Add '-234' to each side of the equation. 234 + -234 + 484y = 14 + -234 Combine like terms: 234 + -234 = 0 0 + 484y = 14 + -234 484y = 14 + -234 Combine like terms: 14 + -234 = -220 484y = -220 Divide each side by '484'. y = -0.4545454545 Simplifying y = -0.4545454545
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