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Simplifying 3(y + 17) = 10y Reorder the terms: 3(17 + y) = 10y (17 * 3 + y * 3) = 10y (51 + 3y) = 10y Solving 51 + 3y = 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. 51 + 3y + -10y = 10y + -10y Combine like terms: 3y + -10y = -7y 51 + -7y = 10y + -10y Combine like terms: 10y + -10y = 0 51 + -7y = 0 Add '-51' to each side of the equation. 51 + -51 + -7y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -7y = 0 + -51 -7y = 0 + -51 Combine like terms: 0 + -51 = -51 -7y = -51 Divide each side by '-7'. y = 7.285714286 Simplifying y = 7.285714286
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