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Simplifying 3y + 12 = 2(5y + 8) Reorder the terms: 12 + 3y = 2(5y + 8) Reorder the terms: 12 + 3y = 2(8 + 5y) 12 + 3y = (8 * 2 + 5y * 2) 12 + 3y = (16 + 10y) Solving 12 + 3y = 16 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 12 + 3y + -10y = 16 + 10y + -10y Combine like terms: 3y + -10y = -7y 12 + -7y = 16 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -7y = 16 + 0 12 + -7y = 16 Add '-12' to each side of the equation. 12 + -12 + -7y = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -7y = 16 + -12 -7y = 16 + -12 Combine like terms: 16 + -12 = 4 -7y = 4 Divide each side by '-7'. y = -0.5714285714 Simplifying y = -0.5714285714
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