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Simplifying 7(6y + -5(4y + -11)) = 7 + -8y Reorder the terms: 7(6y + -5(-11 + 4y)) = 7 + -8y 7(6y + (-11 * -5 + 4y * -5)) = 7 + -8y 7(6y + (55 + -20y)) = 7 + -8y Reorder the terms: 7(55 + 6y + -20y) = 7 + -8y Combine like terms: 6y + -20y = -14y 7(55 + -14y) = 7 + -8y (55 * 7 + -14y * 7) = 7 + -8y (385 + -98y) = 7 + -8y Solving 385 + -98y = 7 + -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. 385 + -98y + 8y = 7 + -8y + 8y Combine like terms: -98y + 8y = -90y 385 + -90y = 7 + -8y + 8y Combine like terms: -8y + 8y = 0 385 + -90y = 7 + 0 385 + -90y = 7 Add '-385' to each side of the equation. 385 + -385 + -90y = 7 + -385 Combine like terms: 385 + -385 = 0 0 + -90y = 7 + -385 -90y = 7 + -385 Combine like terms: 7 + -385 = -378 -90y = -378 Divide each side by '-90'. y = 4.2 Simplifying y = 4.2
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