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Simplifying 4(2y + 7) = 7 + -3(y + -7) Reorder the terms: 4(7 + 2y) = 7 + -3(y + -7) (7 * 4 + 2y * 4) = 7 + -3(y + -7) (28 + 8y) = 7 + -3(y + -7) Reorder the terms: 28 + 8y = 7 + -3(-7 + y) 28 + 8y = 7 + (-7 * -3 + y * -3) 28 + 8y = 7 + (21 + -3y) Combine like terms: 7 + 21 = 28 28 + 8y = 28 + -3y Add '-28' to each side of the equation. 28 + -28 + 8y = 28 + -28 + -3y Combine like terms: 28 + -28 = 0 0 + 8y = 28 + -28 + -3y 8y = 28 + -28 + -3y Combine like terms: 28 + -28 = 0 8y = 0 + -3y 8y = -3y Solving 8y = -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. 8y + 3y = -3y + 3y Combine like terms: 8y + 3y = 11y 11y = -3y + 3y Combine like terms: -3y + 3y = 0 11y = 0 Divide each side by '11'. y = 0 Simplifying y = 0
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