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Simplifying 4y + -1 = 2(5y + 0.5) Reorder the terms: -1 + 4y = 2(5y + 0.5) Reorder the terms: -1 + 4y = 2(0.5 + 5y) -1 + 4y = (0.5 * 2 + 5y * 2) -1 + 4y = (1 + 10y) Solving -1 + 4y = 1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -1 + 4y + -10y = 1 + 10y + -10y Combine like terms: 4y + -10y = -6y -1 + -6y = 1 + 10y + -10y Combine like terms: 10y + -10y = 0 -1 + -6y = 1 + 0 -1 + -6y = 1 Add '1' to each side of the equation. -1 + 1 + -6y = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -6y = 1 + 1 -6y = 1 + 1 Combine like terms: 1 + 1 = 2 -6y = 2 Divide each side by '-6'. y = -0.3333333333 Simplifying y = -0.3333333333
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