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Simplifying 5y + -12 = 3(y + 12) Reorder the terms: -12 + 5y = 3(y + 12) Reorder the terms: -12 + 5y = 3(12 + y) -12 + 5y = (12 * 3 + y * 3) -12 + 5y = (36 + 3y) Solving -12 + 5y = 36 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 5y + -3y = 36 + 3y + -3y Combine like terms: 5y + -3y = 2y -12 + 2y = 36 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 2y = 36 + 0 -12 + 2y = 36 Add '12' to each side of the equation. -12 + 12 + 2y = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 36 + 12 2y = 36 + 12 Combine like terms: 36 + 12 = 48 2y = 48 Divide each side by '2'. y = 24 Simplifying y = 24
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