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Simplifying 6(10 + -0.5y) + -5y = 12 (10 * 6 + -0.5y * 6) + -5y = 12 (60 + -3y) + -5y = 12 Combine like terms: -3y + -5y = -8y 60 + -8y = 12 Solving 60 + -8y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -8y = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -8y = 12 + -60 -8y = 12 + -60 Combine like terms: 12 + -60 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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