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Simplifying 7(y + -7) = -3(2 + y) Reorder the terms: 7(-7 + y) = -3(2 + y) (-7 * 7 + y * 7) = -3(2 + y) (-49 + 7y) = -3(2 + y) -49 + 7y = (2 * -3 + y * -3) -49 + 7y = (-6 + -3y) Solving -49 + 7y = -6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -49 + 7y + 3y = -6 + -3y + 3y Combine like terms: 7y + 3y = 10y -49 + 10y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 -49 + 10y = -6 + 0 -49 + 10y = -6 Add '49' to each side of the equation. -49 + 49 + 10y = -6 + 49 Combine like terms: -49 + 49 = 0 0 + 10y = -6 + 49 10y = -6 + 49 Combine like terms: -6 + 49 = 43 10y = 43 Divide each side by '10'. y = 4.3 Simplifying y = 4.3
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