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Simplifying 3(4y + -1) = 2(5y + 0.5) Reorder the terms: 3(-1 + 4y) = 2(5y + 0.5) (-1 * 3 + 4y * 3) = 2(5y + 0.5) (-3 + 12y) = 2(5y + 0.5) Reorder the terms: -3 + 12y = 2(0.5 + 5y) -3 + 12y = (0.5 * 2 + 5y * 2) -3 + 12y = (1 + 10y) Solving -3 + 12y = 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. -3 + 12y + -10y = 1 + 10y + -10y Combine like terms: 12y + -10y = 2y -3 + 2y = 1 + 10y + -10y Combine like terms: 10y + -10y = 0 -3 + 2y = 1 + 0 -3 + 2y = 1 Add '3' to each side of the equation. -3 + 3 + 2y = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 1 + 3 2y = 1 + 3 Combine like terms: 1 + 3 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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