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Simplifying 0.20(25 + -5y) = 4x + -9y + 13 (25 * 0.20 + -5y * 0.20) = 4x + -9y + 13 (5 + -1y) = 4x + -9y + 13 Reorder the terms: 5 + -1y = 13 + 4x + -9y Solving 5 + -1y = 13 + 4x + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 5 + -1y + 9y = 13 + 4x + -9y + 9y Combine like terms: -1y + 9y = 8y 5 + 8y = 13 + 4x + -9y + 9y Combine like terms: -9y + 9y = 0 5 + 8y = 13 + 4x + 0 5 + 8y = 13 + 4x Add '-5' to each side of the equation. 5 + -5 + 8y = 13 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 8y = 13 + -5 + 4x 8y = 13 + -5 + 4x Combine like terms: 13 + -5 = 8 8y = 8 + 4x Divide each side by '8'. y = 1 + 0.5x Simplifying y = 1 + 0.5x
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