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Simplifying 4y + 17 = 5(2y + 1) Reorder the terms: 17 + 4y = 5(2y + 1) Reorder the terms: 17 + 4y = 5(1 + 2y) 17 + 4y = (1 * 5 + 2y * 5) 17 + 4y = (5 + 10y) Solving 17 + 4y = 5 + 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. 17 + 4y + -10y = 5 + 10y + -10y Combine like terms: 4y + -10y = -6y 17 + -6y = 5 + 10y + -10y Combine like terms: 10y + -10y = 0 17 + -6y = 5 + 0 17 + -6y = 5 Add '-17' to each side of the equation. 17 + -17 + -6y = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6y = 5 + -17 -6y = 5 + -17 Combine like terms: 5 + -17 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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