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Simplifying 6y + 22 = 8(y + 5) Reorder the terms: 22 + 6y = 8(y + 5) Reorder the terms: 22 + 6y = 8(5 + y) 22 + 6y = (5 * 8 + y * 8) 22 + 6y = (40 + 8y) Solving 22 + 6y = 40 + 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. 22 + 6y + -8y = 40 + 8y + -8y Combine like terms: 6y + -8y = -2y 22 + -2y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 22 + -2y = 40 + 0 22 + -2y = 40 Add '-22' to each side of the equation. 22 + -22 + -2y = 40 + -22 Combine like terms: 22 + -22 = 0 0 + -2y = 40 + -22 -2y = 40 + -22 Combine like terms: 40 + -22 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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