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Simplifying 2.5(2) = y + 0.25(2y + -2.5) Multiply 2.5 * 2 5 = y + 0.25(2y + -2.5) Reorder the terms: 5 = y + 0.25(-2.5 + 2y) 5 = y + (-2.5 * 0.25 + 2y * 0.25) 5 = y + (-0.625 + 0.5y) Reorder the terms: 5 = -0.625 + y + 0.5y Combine like terms: y + 0.5y = 1.5y 5 = -0.625 + 1.5y Solving 5 = -0.625 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. 5 + -1.5y = -0.625 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 5 + -1.5y = -0.625 + 0.0 5 + -1.5y = -0.625 Add '-5' to each side of the equation. 5 + -5 + -1.5y = -0.625 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5y = -0.625 + -5 -1.5y = -0.625 + -5 Combine like terms: -0.625 + -5 = -5.625 -1.5y = -5.625 Divide each side by '-1.5'. y = 3.75 Simplifying y = 3.75
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