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Simplifying 6(7 + -1y) + y = 36 + y (7 * 6 + -1y * 6) + y = 36 + y (42 + -6y) + y = 36 + y Combine like terms: -6y + y = -5y 42 + -5y = 36 + y Solving 42 + -5y = 36 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 42 + -5y + -1y = 36 + y + -1y Combine like terms: -5y + -1y = -6y 42 + -6y = 36 + y + -1y Combine like terms: y + -1y = 0 42 + -6y = 36 + 0 42 + -6y = 36 Add '-42' to each side of the equation. 42 + -42 + -6y = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -6y = 36 + -42 -6y = 36 + -42 Combine like terms: 36 + -42 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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