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Simplifying 3y + 10 = 5(y + 4) Reorder the terms: 10 + 3y = 5(y + 4) Reorder the terms: 10 + 3y = 5(4 + y) 10 + 3y = (4 * 5 + y * 5) 10 + 3y = (20 + 5y) Solving 10 + 3y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 10 + 3y + -5y = 20 + 5y + -5y Combine like terms: 3y + -5y = -2y 10 + -2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + -2y = 20 + 0 10 + -2y = 20 Add '-10' to each side of the equation. 10 + -10 + -2y = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = 20 + -10 -2y = 20 + -10 Combine like terms: 20 + -10 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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