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Simplifying 9y + 8(-7y + -20) = 20 + 9 + -20y Reorder the terms: 9y + 8(-20 + -7y) = 20 + 9 + -20y 9y + (-20 * 8 + -7y * 8) = 20 + 9 + -20y 9y + (-160 + -56y) = 20 + 9 + -20y Reorder the terms: -160 + 9y + -56y = 20 + 9 + -20y Combine like terms: 9y + -56y = -47y -160 + -47y = 20 + 9 + -20y Combine like terms: 20 + 9 = 29 -160 + -47y = 29 + -20y Solving -160 + -47y = 29 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. -160 + -47y + 20y = 29 + -20y + 20y Combine like terms: -47y + 20y = -27y -160 + -27y = 29 + -20y + 20y Combine like terms: -20y + 20y = 0 -160 + -27y = 29 + 0 -160 + -27y = 29 Add '160' to each side of the equation. -160 + 160 + -27y = 29 + 160 Combine like terms: -160 + 160 = 0 0 + -27y = 29 + 160 -27y = 29 + 160 Combine like terms: 29 + 160 = 189 -27y = 189 Divide each side by '-27'. y = -7 Simplifying y = -7
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