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Simplifying 6y + -7(y + -3) = 4 + -8(y + -8) Reorder the terms: 6y + -7(-3 + y) = 4 + -8(y + -8) 6y + (-3 * -7 + y * -7) = 4 + -8(y + -8) 6y + (21 + -7y) = 4 + -8(y + -8) Reorder the terms: 21 + 6y + -7y = 4 + -8(y + -8) Combine like terms: 6y + -7y = -1y 21 + -1y = 4 + -8(y + -8) Reorder the terms: 21 + -1y = 4 + -8(-8 + y) 21 + -1y = 4 + (-8 * -8 + y * -8) 21 + -1y = 4 + (64 + -8y) Combine like terms: 4 + 64 = 68 21 + -1y = 68 + -8y Solving 21 + -1y = 68 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 21 + -1y + 8y = 68 + -8y + 8y Combine like terms: -1y + 8y = 7y 21 + 7y = 68 + -8y + 8y Combine like terms: -8y + 8y = 0 21 + 7y = 68 + 0 21 + 7y = 68 Add '-21' to each side of the equation. 21 + -21 + 7y = 68 + -21 Combine like terms: 21 + -21 = 0 0 + 7y = 68 + -21 7y = 68 + -21 Combine like terms: 68 + -21 = 47 7y = 47 Divide each side by '7'. y = 6.714285714 Simplifying y = 6.714285714
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