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Simplifying 6y + -7(y + -3) = 8 + -7(y + -3) Reorder the terms: 6y + -7(-3 + y) = 8 + -7(y + -3) 6y + (-3 * -7 + y * -7) = 8 + -7(y + -3) 6y + (21 + -7y) = 8 + -7(y + -3) Reorder the terms: 21 + 6y + -7y = 8 + -7(y + -3) Combine like terms: 6y + -7y = -1y 21 + -1y = 8 + -7(y + -3) Reorder the terms: 21 + -1y = 8 + -7(-3 + y) 21 + -1y = 8 + (-3 * -7 + y * -7) 21 + -1y = 8 + (21 + -7y) Combine like terms: 8 + 21 = 29 21 + -1y = 29 + -7y Solving 21 + -1y = 29 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 21 + -1y + 7y = 29 + -7y + 7y Combine like terms: -1y + 7y = 6y 21 + 6y = 29 + -7y + 7y Combine like terms: -7y + 7y = 0 21 + 6y = 29 + 0 21 + 6y = 29 Add '-21' to each side of the equation. 21 + -21 + 6y = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 6y = 29 + -21 6y = 29 + -21 Combine like terms: 29 + -21 = 8 6y = 8 Divide each side by '6'. y = 1.333333333 Simplifying y = 1.333333333
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