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Simplifying -7(2y + -4) + 3y = 3(y + 8) Reorder the terms: -7(-4 + 2y) + 3y = 3(y + 8) (-4 * -7 + 2y * -7) + 3y = 3(y + 8) (28 + -14y) + 3y = 3(y + 8) Combine like terms: -14y + 3y = -11y 28 + -11y = 3(y + 8) Reorder the terms: 28 + -11y = 3(8 + y) 28 + -11y = (8 * 3 + y * 3) 28 + -11y = (24 + 3y) Solving 28 + -11y = 24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 28 + -11y + -3y = 24 + 3y + -3y Combine like terms: -11y + -3y = -14y 28 + -14y = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + -14y = 24 + 0 28 + -14y = 24 Add '-28' to each side of the equation. 28 + -28 + -14y = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -14y = 24 + -28 -14y = 24 + -28 Combine like terms: 24 + -28 = -4 -14y = -4 Divide each side by '-14'. y = 0.2857142857 Simplifying y = 0.2857142857
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