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Simplifying 17y + -5(-6y + -20) = 10 + 18y Reorder the terms: 17y + -5(-20 + -6y) = 10 + 18y 17y + (-20 * -5 + -6y * -5) = 10 + 18y 17y + (100 + 30y) = 10 + 18y Reorder the terms: 100 + 17y + 30y = 10 + 18y Combine like terms: 17y + 30y = 47y 100 + 47y = 10 + 18y Solving 100 + 47y = 10 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 100 + 47y + -18y = 10 + 18y + -18y Combine like terms: 47y + -18y = 29y 100 + 29y = 10 + 18y + -18y Combine like terms: 18y + -18y = 0 100 + 29y = 10 + 0 100 + 29y = 10 Add '-100' to each side of the equation. 100 + -100 + 29y = 10 + -100 Combine like terms: 100 + -100 = 0 0 + 29y = 10 + -100 29y = 10 + -100 Combine like terms: 10 + -100 = -90 29y = -90 Divide each side by '29'. y = -3.103448276 Simplifying y = -3.103448276
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