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Simplifying 38 = 8(y + -4) + 6y Reorder the terms: 38 = 8(-4 + y) + 6y 38 = (-4 * 8 + y * 8) + 6y 38 = (-32 + 8y) + 6y Combine like terms: 8y + 6y = 14y 38 = -32 + 14y Solving 38 = -32 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 38 + -14y = -32 + 14y + -14y Combine like terms: 14y + -14y = 0 38 + -14y = -32 + 0 38 + -14y = -32 Add '-38' to each side of the equation. 38 + -38 + -14y = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -14y = -32 + -38 -14y = -32 + -38 Combine like terms: -32 + -38 = -70 -14y = -70 Divide each side by '-14'. y = 5 Simplifying y = 5
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