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Simplifying 7(2y + 3) + -5y = 4(2y + 7) Reorder the terms: 7(3 + 2y) + -5y = 4(2y + 7) (3 * 7 + 2y * 7) + -5y = 4(2y + 7) (21 + 14y) + -5y = 4(2y + 7) Combine like terms: 14y + -5y = 9y 21 + 9y = 4(2y + 7) Reorder the terms: 21 + 9y = 4(7 + 2y) 21 + 9y = (7 * 4 + 2y * 4) 21 + 9y = (28 + 8y) Solving 21 + 9y = 28 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 21 + 9y + -8y = 28 + 8y + -8y Combine like terms: 9y + -8y = 1y 21 + 1y = 28 + 8y + -8y Combine like terms: 8y + -8y = 0 21 + 1y = 28 + 0 21 + 1y = 28 Add '-21' to each side of the equation. 21 + -21 + 1y = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 1y = 28 + -21 1y = 28 + -21 Combine like terms: 28 + -21 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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