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Simplifying -5(0.5y + 1.5) + y = -12 Reorder the terms: -5(1.5 + 0.5y) + y = -12 (1.5 * -5 + 0.5y * -5) + y = -12 (-7.5 + -2.5y) + y = -12 Combine like terms: -2.5y + y = -1.5y -7.5 + -1.5y = -12 Solving -7.5 + -1.5y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + -1.5y = -12 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -1.5y = -12 + 7.5 -1.5y = -12 + 7.5 Combine like terms: -12 + 7.5 = -4.5 -1.5y = -4.5 Divide each side by '-1.5'. y = 3 Simplifying y = 3
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