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Simplifying 2y + 36 = 8(y + 9) Reorder the terms: 36 + 2y = 8(y + 9) Reorder the terms: 36 + 2y = 8(9 + y) 36 + 2y = (9 * 8 + y * 8) 36 + 2y = (72 + 8y) Solving 36 + 2y = 72 + 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. 36 + 2y + -8y = 72 + 8y + -8y Combine like terms: 2y + -8y = -6y 36 + -6y = 72 + 8y + -8y Combine like terms: 8y + -8y = 0 36 + -6y = 72 + 0 36 + -6y = 72 Add '-36' to each side of the equation. 36 + -36 + -6y = 72 + -36 Combine like terms: 36 + -36 = 0 0 + -6y = 72 + -36 -6y = 72 + -36 Combine like terms: 72 + -36 = 36 -6y = 36 Divide each side by '-6'. y = -6 Simplifying y = -6
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