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Simplifying 5y + 100 = 2y + 150 Reorder the terms: 100 + 5y = 2y + 150 Reorder the terms: 100 + 5y = 150 + 2y Solving 100 + 5y = 150 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 100 + 5y + -2y = 150 + 2y + -2y Combine like terms: 5y + -2y = 3y 100 + 3y = 150 + 2y + -2y Combine like terms: 2y + -2y = 0 100 + 3y = 150 + 0 100 + 3y = 150 Add '-100' to each side of the equation. 100 + -100 + 3y = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 3y = 150 + -100 3y = 150 + -100 Combine like terms: 150 + -100 = 50 3y = 50 Divide each side by '3'. y = 16.66666667 Simplifying y = 16.66666667
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