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Simplifying 5y + 22 = 7(y + 4) Reorder the terms: 22 + 5y = 7(y + 4) Reorder the terms: 22 + 5y = 7(4 + y) 22 + 5y = (4 * 7 + y * 7) 22 + 5y = (28 + 7y) Solving 22 + 5y = 28 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 22 + 5y + -7y = 28 + 7y + -7y Combine like terms: 5y + -7y = -2y 22 + -2y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 22 + -2y = 28 + 0 22 + -2y = 28 Add '-22' to each side of the equation. 22 + -22 + -2y = 28 + -22 Combine like terms: 22 + -22 = 0 0 + -2y = 28 + -22 -2y = 28 + -22 Combine like terms: 28 + -22 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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