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Simplifying 7(y + -5) = 7(-2y) Reorder the terms: 7(-5 + y) = 7(-2y) (-5 * 7 + y * 7) = 7(-2y) (-35 + 7y) = 7(-2y) Remove parenthesis around (-2y) -35 + 7y = 7 * -2y Multiply 7 * -2 -35 + 7y = -14y Solving -35 + 7y = -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. -35 + 7y + 14y = -14y + 14y Combine like terms: 7y + 14y = 21y -35 + 21y = -14y + 14y Combine like terms: -14y + 14y = 0 -35 + 21y = 0 Add '35' to each side of the equation. -35 + 35 + 21y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 21y = 0 + 35 21y = 0 + 35 Combine like terms: 0 + 35 = 35 21y = 35 Divide each side by '21'. y = 1.666666667 Simplifying y = 1.666666667
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