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Simplifying (2y + 1) = 17(2y + -3) Reorder the terms: (1 + 2y) = 17(2y + -3) Remove parenthesis around (1 + 2y) 1 + 2y = 17(2y + -3) Reorder the terms: 1 + 2y = 17(-3 + 2y) 1 + 2y = (-3 * 17 + 2y * 17) 1 + 2y = (-51 + 34y) Solving 1 + 2y = -51 + 34y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34y' to each side of the equation. 1 + 2y + -34y = -51 + 34y + -34y Combine like terms: 2y + -34y = -32y 1 + -32y = -51 + 34y + -34y Combine like terms: 34y + -34y = 0 1 + -32y = -51 + 0 1 + -32y = -51 Add '-1' to each side of the equation. 1 + -1 + -32y = -51 + -1 Combine like terms: 1 + -1 = 0 0 + -32y = -51 + -1 -32y = -51 + -1 Combine like terms: -51 + -1 = -52 -32y = -52 Divide each side by '-32'. y = 1.625 Simplifying y = 1.625
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