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Simplifying 8y + 12 = 4(y + 5) Reorder the terms: 12 + 8y = 4(y + 5) Reorder the terms: 12 + 8y = 4(5 + y) 12 + 8y = (5 * 4 + y * 4) 12 + 8y = (20 + 4y) Solving 12 + 8y = 20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + 8y + -4y = 20 + 4y + -4y Combine like terms: 8y + -4y = 4y 12 + 4y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + 4y = 20 + 0 12 + 4y = 20 Add '-12' to each side of the equation. 12 + -12 + 4y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 20 + -12 4y = 20 + -12 Combine like terms: 20 + -12 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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