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Simplifying 1.5(y + 4) = 7.5y + -9 Reorder the terms: 1.5(4 + y) = 7.5y + -9 (4 * 1.5 + y * 1.5) = 7.5y + -9 (6 + 1.5y) = 7.5y + -9 Reorder the terms: 6 + 1.5y = -9 + 7.5y Solving 6 + 1.5y = -9 + 7.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.5y' to each side of the equation. 6 + 1.5y + -7.5y = -9 + 7.5y + -7.5y Combine like terms: 1.5y + -7.5y = -6y 6 + -6y = -9 + 7.5y + -7.5y Combine like terms: 7.5y + -7.5y = 0.0 6 + -6y = -9 + 0.0 6 + -6y = -9 Add '-6' to each side of the equation. 6 + -6 + -6y = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -6y = -9 + -6 -6y = -9 + -6 Combine like terms: -9 + -6 = -15 -6y = -15 Divide each side by '-6'. y = 2.5 Simplifying y = 2.5
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