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Simplifying 6y + 22 = 4(y + 4) Reorder the terms: 22 + 6y = 4(y + 4) Reorder the terms: 22 + 6y = 4(4 + y) 22 + 6y = (4 * 4 + y * 4) 22 + 6y = (16 + 4y) Solving 22 + 6y = 16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 22 + 6y + -4y = 16 + 4y + -4y Combine like terms: 6y + -4y = 2y 22 + 2y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 22 + 2y = 16 + 0 22 + 2y = 16 Add '-22' to each side of the equation. 22 + -22 + 2y = 16 + -22 Combine like terms: 22 + -22 = 0 0 + 2y = 16 + -22 2y = 16 + -22 Combine like terms: 16 + -22 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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