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Simplifying 36 = 4(y + 8) + -6y Reorder the terms: 36 = 4(8 + y) + -6y 36 = (8 * 4 + y * 4) + -6y 36 = (32 + 4y) + -6y Combine like terms: 4y + -6y = -2y 36 = 32 + -2y Solving 36 = 32 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 36 + 2y = 32 + -2y + 2y Combine like terms: -2y + 2y = 0 36 + 2y = 32 + 0 36 + 2y = 32 Add '-36' to each side of the equation. 36 + -36 + 2y = 32 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 32 + -36 2y = 32 + -36 Combine like terms: 32 + -36 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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