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Simplifying 5(y + 4) + -3y = 4y + 12 Reorder the terms: 5(4 + y) + -3y = 4y + 12 (4 * 5 + y * 5) + -3y = 4y + 12 (20 + 5y) + -3y = 4y + 12 Combine like terms: 5y + -3y = 2y 20 + 2y = 4y + 12 Reorder the terms: 20 + 2y = 12 + 4y Solving 20 + 2y = 12 + 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. 20 + 2y + -4y = 12 + 4y + -4y Combine like terms: 2y + -4y = -2y 20 + -2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 20 + -2y = 12 + 0 20 + -2y = 12 Add '-20' to each side of the equation. 20 + -20 + -2y = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -2y = 12 + -20 -2y = 12 + -20 Combine like terms: 12 + -20 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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