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Simplifying 7(2y + 1) + -4y = 9 + -8(y + 7) Reorder the terms: 7(1 + 2y) + -4y = 9 + -8(y + 7) (1 * 7 + 2y * 7) + -4y = 9 + -8(y + 7) (7 + 14y) + -4y = 9 + -8(y + 7) Combine like terms: 14y + -4y = 10y 7 + 10y = 9 + -8(y + 7) Reorder the terms: 7 + 10y = 9 + -8(7 + y) 7 + 10y = 9 + (7 * -8 + y * -8) 7 + 10y = 9 + (-56 + -8y) Combine like terms: 9 + -56 = -47 7 + 10y = -47 + -8y Solving 7 + 10y = -47 + -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. 7 + 10y + 8y = -47 + -8y + 8y Combine like terms: 10y + 8y = 18y 7 + 18y = -47 + -8y + 8y Combine like terms: -8y + 8y = 0 7 + 18y = -47 + 0 7 + 18y = -47 Add '-7' to each side of the equation. 7 + -7 + 18y = -47 + -7 Combine like terms: 7 + -7 = 0 0 + 18y = -47 + -7 18y = -47 + -7 Combine like terms: -47 + -7 = -54 18y = -54 Divide each side by '18'. y = -3 Simplifying y = -3
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