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Simplifying 4(7 + y) = 3(y + -7) (7 * 4 + y * 4) = 3(y + -7) (28 + 4y) = 3(y + -7) Reorder the terms: 28 + 4y = 3(-7 + y) 28 + 4y = (-7 * 3 + y * 3) 28 + 4y = (-21 + 3y) Solving 28 + 4y = -21 + 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 + 4y + -3y = -21 + 3y + -3y Combine like terms: 4y + -3y = 1y 28 + 1y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + 1y = -21 + 0 28 + 1y = -21 Add '-28' to each side of the equation. 28 + -28 + 1y = -21 + -28 Combine like terms: 28 + -28 = 0 0 + 1y = -21 + -28 1y = -21 + -28 Combine like terms: -21 + -28 = -49 1y = -49 Divide each side by '1'. y = -49 Simplifying y = -49
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