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Simplifying 0.5y + 2 = 0.5(10y + 4) Reorder the terms: 2 + 0.5y = 0.5(10y + 4) Reorder the terms: 2 + 0.5y = 0.5(4 + 10y) 2 + 0.5y = (4 * 0.5 + 10y * 0.5) 2 + 0.5y = (2 + 5y) Add '-2' to each side of the equation. 2 + -2 + 0.5y = 2 + -2 + 5y Combine like terms: 2 + -2 = 0 0 + 0.5y = 2 + -2 + 5y 0.5y = 2 + -2 + 5y Combine like terms: 2 + -2 = 0 0.5y = 0 + 5y 0.5y = 5y Solving 0.5y = 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 0.5y + -5y = 5y + -5y Combine like terms: 0.5y + -5y = -4.5y -4.5y = 5y + -5y Combine like terms: 5y + -5y = 0 -4.5y = 0 Divide each side by '-4.5'. y = 0 Simplifying y = 0
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