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Simplifying 7(y + 6) = -5(3y + -6) + 6y Reorder the terms: 7(6 + y) = -5(3y + -6) + 6y (6 * 7 + y * 7) = -5(3y + -6) + 6y (42 + 7y) = -5(3y + -6) + 6y Reorder the terms: 42 + 7y = -5(-6 + 3y) + 6y 42 + 7y = (-6 * -5 + 3y * -5) + 6y 42 + 7y = (30 + -15y) + 6y Combine like terms: -15y + 6y = -9y 42 + 7y = 30 + -9y Solving 42 + 7y = 30 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 42 + 7y + 9y = 30 + -9y + 9y Combine like terms: 7y + 9y = 16y 42 + 16y = 30 + -9y + 9y Combine like terms: -9y + 9y = 0 42 + 16y = 30 + 0 42 + 16y = 30 Add '-42' to each side of the equation. 42 + -42 + 16y = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 16y = 30 + -42 16y = 30 + -42 Combine like terms: 30 + -42 = -12 16y = -12 Divide each side by '16'. y = -0.75 Simplifying y = -0.75
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