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Simplifying y + 38 = 15y + 10 Reorder the terms: 38 + y = 15y + 10 Reorder the terms: 38 + y = 10 + 15y Solving 38 + y = 10 + 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. 38 + y + -15y = 10 + 15y + -15y Combine like terms: y + -15y = -14y 38 + -14y = 10 + 15y + -15y Combine like terms: 15y + -15y = 0 38 + -14y = 10 + 0 38 + -14y = 10 Add '-38' to each side of the equation. 38 + -38 + -14y = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -14y = 10 + -38 -14y = 10 + -38 Combine like terms: 10 + -38 = -28 -14y = -28 Divide each side by '-14'. y = 2 Simplifying y = 2
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