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Simplifying 1.5(5 + -1y) = 3y + 12y (5 * 1.5 + -1y * 1.5) = 3y + 12y (7.5 + -1.5y) = 3y + 12y Combine like terms: 3y + 12y = 15y 7.5 + -1.5y = 15y Solving 7.5 + -1.5y = 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 7.5 + -1.5y + -15y = 15y + -15y Combine like terms: -1.5y + -15y = -16.5y 7.5 + -16.5y = 15y + -15y Combine like terms: 15y + -15y = 0 7.5 + -16.5y = 0 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -16.5y = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -16.5y = 0 + -7.5 -16.5y = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -16.5y = -7.5 Divide each side by '-16.5'. y = 0.4545454545 Simplifying y = 0.4545454545
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