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Simplifying 5(9.5 + -1.5y) + 4y = 30 (9.5 * 5 + -1.5y * 5) + 4y = 30 (47.5 + -7.5y) + 4y = 30 Combine like terms: -7.5y + 4y = -3.5y 47.5 + -3.5y = 30 Solving 47.5 + -3.5y = 30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47.5' to each side of the equation. 47.5 + -47.5 + -3.5y = 30 + -47.5 Combine like terms: 47.5 + -47.5 = 0.0 0.0 + -3.5y = 30 + -47.5 -3.5y = 30 + -47.5 Combine like terms: 30 + -47.5 = -17.5 -3.5y = -17.5 Divide each side by '-3.5'. y = 5 Simplifying y = 5
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