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Simplifying 3y + -5 = 0.5(5y + 1) Reorder the terms: -5 + 3y = 0.5(5y + 1) Reorder the terms: -5 + 3y = 0.5(1 + 5y) -5 + 3y = (1 * 0.5 + 5y * 0.5) -5 + 3y = (0.5 + 2.5y) Solving -5 + 3y = 0.5 + 2.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5y' to each side of the equation. -5 + 3y + -2.5y = 0.5 + 2.5y + -2.5y Combine like terms: 3y + -2.5y = 0.5y -5 + 0.5y = 0.5 + 2.5y + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 -5 + 0.5y = 0.5 + 0.0 -5 + 0.5y = 0.5 Add '5' to each side of the equation. -5 + 5 + 0.5y = 0.5 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5y = 0.5 + 5 0.5y = 0.5 + 5 Combine like terms: 0.5 + 5 = 5.5 0.5y = 5.5 Divide each side by '0.5'. y = 11 Simplifying y = 11
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