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Simplifying 4y + 26 = 2(y + 8) + 2(x) Reorder the terms: 26 + 4y = 2(y + 8) + 2(x) Reorder the terms: 26 + 4y = 2(8 + y) + 2(x) 26 + 4y = (8 * 2 + y * 2) + 2(x) 26 + 4y = (16 + 2y) + 2(x) Reorder the terms: 26 + 4y = 16 + 2x + 2y Solving 26 + 4y = 16 + 2x + 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. 26 + 4y + -2y = 16 + 2x + 2y + -2y Combine like terms: 4y + -2y = 2y 26 + 2y = 16 + 2x + 2y + -2y Combine like terms: 2y + -2y = 0 26 + 2y = 16 + 2x + 0 26 + 2y = 16 + 2x Add '-26' to each side of the equation. 26 + -26 + 2y = 16 + -26 + 2x Combine like terms: 26 + -26 = 0 0 + 2y = 16 + -26 + 2x 2y = 16 + -26 + 2x Combine like terms: 16 + -26 = -10 2y = -10 + 2x Divide each side by '2'. y = -5 + x Simplifying y = -5 + x
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