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Simplifying 7y + -2(y + -8) = 2 + -8(y + -9) Reorder the terms: 7y + -2(-8 + y) = 2 + -8(y + -9) 7y + (-8 * -2 + y * -2) = 2 + -8(y + -9) 7y + (16 + -2y) = 2 + -8(y + -9) Reorder the terms: 16 + 7y + -2y = 2 + -8(y + -9) Combine like terms: 7y + -2y = 5y 16 + 5y = 2 + -8(y + -9) Reorder the terms: 16 + 5y = 2 + -8(-9 + y) 16 + 5y = 2 + (-9 * -8 + y * -8) 16 + 5y = 2 + (72 + -8y) Combine like terms: 2 + 72 = 74 16 + 5y = 74 + -8y Solving 16 + 5y = 74 + -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. 16 + 5y + 8y = 74 + -8y + 8y Combine like terms: 5y + 8y = 13y 16 + 13y = 74 + -8y + 8y Combine like terms: -8y + 8y = 0 16 + 13y = 74 + 0 16 + 13y = 74 Add '-16' to each side of the equation. 16 + -16 + 13y = 74 + -16 Combine like terms: 16 + -16 = 0 0 + 13y = 74 + -16 13y = 74 + -16 Combine like terms: 74 + -16 = 58 13y = 58 Divide each side by '13'. y = 4.461538462 Simplifying y = 4.461538462
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