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Simplifying 0.5y + 0.5(y + 2) = 5 + 3(y + -3) Reorder the terms: 0.5y + 0.5(2 + y) = 5 + 3(y + -3) 0.5y + (2 * 0.5 + y * 0.5) = 5 + 3(y + -3) 0.5y + (1 + 0.5y) = 5 + 3(y + -3) Reorder the terms: 1 + 0.5y + 0.5y = 5 + 3(y + -3) Combine like terms: 0.5y + 0.5y = 1y 1 + 1y = 5 + 3(y + -3) Reorder the terms: 1 + 1y = 5 + 3(-3 + y) 1 + 1y = 5 + (-3 * 3 + y * 3) 1 + 1y = 5 + (-9 + 3y) Combine like terms: 5 + -9 = -4 1 + 1y = -4 + 3y Solving 1 + 1y = -4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 1 + 1y + -3y = -4 + 3y + -3y Combine like terms: 1y + -3y = -2y 1 + -2y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + -2y = -4 + 0 1 + -2y = -4 Add '-1' to each side of the equation. 1 + -1 + -2y = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = -4 + -1 -2y = -4 + -1 Combine like terms: -4 + -1 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5
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