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Simplifying 6 = 7(y + 8) + 3y Reorder the terms: 6 = 7(8 + y) + 3y 6 = (8 * 7 + y * 7) + 3y 6 = (56 + 7y) + 3y Combine like terms: 7y + 3y = 10y 6 = 56 + 10y Solving 6 = 56 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 6 + -10y = 56 + 10y + -10y Combine like terms: 10y + -10y = 0 6 + -10y = 56 + 0 6 + -10y = 56 Add '-6' to each side of the equation. 6 + -6 + -10y = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -10y = 56 + -6 -10y = 56 + -6 Combine like terms: 56 + -6 = 50 -10y = 50 Divide each side by '-10'. y = -5 Simplifying y = -5
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