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Simplifying 8(y + 4) = 2y + 26 Reorder the terms: 8(4 + y) = 2y + 26 (4 * 8 + y * 8) = 2y + 26 (32 + 8y) = 2y + 26 Reorder the terms: 32 + 8y = 26 + 2y Solving 32 + 8y = 26 + 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. 32 + 8y + -2y = 26 + 2y + -2y Combine like terms: 8y + -2y = 6y 32 + 6y = 26 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + 6y = 26 + 0 32 + 6y = 26 Add '-32' to each side of the equation. 32 + -32 + 6y = 26 + -32 Combine like terms: 32 + -32 = 0 0 + 6y = 26 + -32 6y = 26 + -32 Combine like terms: 26 + -32 = -6 6y = -6 Divide each side by '6'. y = -1 Simplifying y = -1
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