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Simplifying 4(y + 8) = 2y + 18 Reorder the terms: 4(8 + y) = 2y + 18 (8 * 4 + y * 4) = 2y + 18 (32 + 4y) = 2y + 18 Reorder the terms: 32 + 4y = 18 + 2y Solving 32 + 4y = 18 + 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 + 4y + -2y = 18 + 2y + -2y Combine like terms: 4y + -2y = 2y 32 + 2y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + 2y = 18 + 0 32 + 2y = 18 Add '-32' to each side of the equation. 32 + -32 + 2y = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 18 + -32 2y = 18 + -32 Combine like terms: 18 + -32 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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