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Simplifying 7(5y + -2) = 21y Reorder the terms: 7(-2 + 5y) = 21y (-2 * 7 + 5y * 7) = 21y (-14 + 35y) = 21y Solving -14 + 35y = 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -14 + 35y + -21y = 21y + -21y Combine like terms: 35y + -21y = 14y -14 + 14y = 21y + -21y Combine like terms: 21y + -21y = 0 -14 + 14y = 0 Add '14' to each side of the equation. -14 + 14 + 14y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14y = 0 + 14 14y = 0 + 14 Combine like terms: 0 + 14 = 14 14y = 14 Divide each side by '14'. y = 1 Simplifying y = 1
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