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Simplifying 1.7(y + 1) = -1.1(y + -20) Reorder the terms: 1.7(1 + y) = -1.1(y + -20) (1 * 1.7 + y * 1.7) = -1.1(y + -20) (1.7 + 1.7y) = -1.1(y + -20) Reorder the terms: 1.7 + 1.7y = -1.1(-20 + y) 1.7 + 1.7y = (-20 * -1.1 + y * -1.1) 1.7 + 1.7y = (22 + -1.1y) Solving 1.7 + 1.7y = 22 + -1.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.1y' to each side of the equation. 1.7 + 1.7y + 1.1y = 22 + -1.1y + 1.1y Combine like terms: 1.7y + 1.1y = 2.8y 1.7 + 2.8y = 22 + -1.1y + 1.1y Combine like terms: -1.1y + 1.1y = 0.0 1.7 + 2.8y = 22 + 0.0 1.7 + 2.8y = 22 Add '-1.7' to each side of the equation. 1.7 + -1.7 + 2.8y = 22 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + 2.8y = 22 + -1.7 2.8y = 22 + -1.7 Combine like terms: 22 + -1.7 = 20.3 2.8y = 20.3 Divide each side by '2.8'. y = 7.25 Simplifying y = 7.25
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