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Simplifying 7(2y + 4) + -3(y + -2) = 6 Reorder the terms: 7(4 + 2y) + -3(y + -2) = 6 (4 * 7 + 2y * 7) + -3(y + -2) = 6 (28 + 14y) + -3(y + -2) = 6 Reorder the terms: 28 + 14y + -3(-2 + y) = 6 28 + 14y + (-2 * -3 + y * -3) = 6 28 + 14y + (6 + -3y) = 6 Reorder the terms: 28 + 6 + 14y + -3y = 6 Combine like terms: 28 + 6 = 34 34 + 14y + -3y = 6 Combine like terms: 14y + -3y = 11y 34 + 11y = 6 Solving 34 + 11y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 11y = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 11y = 6 + -34 11y = 6 + -34 Combine like terms: 6 + -34 = -28 11y = -28 Divide each side by '11'. y = -2.545454545 Simplifying y = -2.545454545
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