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Simplifying 4(-3 + 0.5y) + 2y = 15 (-3 * 4 + 0.5y * 4) + 2y = 15 (-12 + 2y) + 2y = 15 Combine like terms: 2y + 2y = 4y -12 + 4y = 15 Solving -12 + 4y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 15 + 12 4y = 15 + 12 Combine like terms: 15 + 12 = 27 4y = 27 Divide each side by '4'. y = 6.75 Simplifying y = 6.75
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