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Simplifying 0.5(2y + 22) = -0.4(20y + -5) Reorder the terms: 0.5(22 + 2y) = -0.4(20y + -5) (22 * 0.5 + 2y * 0.5) = -0.4(20y + -5) (11 + 1y) = -0.4(20y + -5) Reorder the terms: 11 + 1y = -0.4(-5 + 20y) 11 + 1y = (-5 * -0.4 + 20y * -0.4) 11 + 1y = (2 + -8y) Solving 11 + 1y = 2 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 11 + 1y + 8y = 2 + -8y + 8y Combine like terms: 1y + 8y = 9y 11 + 9y = 2 + -8y + 8y Combine like terms: -8y + 8y = 0 11 + 9y = 2 + 0 11 + 9y = 2 Add '-11' to each side of the equation. 11 + -11 + 9y = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 9y = 2 + -11 9y = 2 + -11 Combine like terms: 2 + -11 = -9 9y = -9 Divide each side by '9'. y = -1 Simplifying y = -1
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