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Simplifying 7(5y + -6) = 14y Reorder the terms: 7(-6 + 5y) = 14y (-6 * 7 + 5y * 7) = 14y (-42 + 35y) = 14y Solving -42 + 35y = 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -42 + 35y + -14y = 14y + -14y Combine like terms: 35y + -14y = 21y -42 + 21y = 14y + -14y Combine like terms: 14y + -14y = 0 -42 + 21y = 0 Add '42' to each side of the equation. -42 + 42 + 21y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 21y = 0 + 42 21y = 0 + 42 Combine like terms: 0 + 42 = 42 21y = 42 Divide each side by '21'. y = 2 Simplifying y = 2
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