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Simplifying -38 = 5(2 + -1y) -38 = (2 * 5 + -1y * 5) -38 = (10 + -5y) Solving -38 = 10 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -38 + 5y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 -38 + 5y = 10 + 0 -38 + 5y = 10 Add '38' to each side of the equation. -38 + 38 + 5y = 10 + 38 Combine like terms: -38 + 38 = 0 0 + 5y = 10 + 38 5y = 10 + 38 Combine like terms: 10 + 38 = 48 5y = 48 Divide each side by '5'. y = 9.6 Simplifying y = 9.6
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