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Simplifying 38 = 8 + 6(y + -2) Reorder the terms: 38 = 8 + 6(-2 + y) 38 = 8 + (-2 * 6 + y * 6) 38 = 8 + (-12 + 6y) Combine like terms: 8 + -12 = -4 38 = -4 + 6y Solving 38 = -4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 38 + -6y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 38 + -6y = -4 + 0 38 + -6y = -4 Add '-38' to each side of the equation. 38 + -38 + -6y = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -6y = -4 + -38 -6y = -4 + -38 Combine like terms: -4 + -38 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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