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Simplifying 7(y + -5) = -3(4 + y) Reorder the terms: 7(-5 + y) = -3(4 + y) (-5 * 7 + y * 7) = -3(4 + y) (-35 + 7y) = -3(4 + y) -35 + 7y = (4 * -3 + y * -3) -35 + 7y = (-12 + -3y) Solving -35 + 7y = -12 + -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. -35 + 7y + 3y = -12 + -3y + 3y Combine like terms: 7y + 3y = 10y -35 + 10y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 -35 + 10y = -12 + 0 -35 + 10y = -12 Add '35' to each side of the equation. -35 + 35 + 10y = -12 + 35 Combine like terms: -35 + 35 = 0 0 + 10y = -12 + 35 10y = -12 + 35 Combine like terms: -12 + 35 = 23 10y = 23 Divide each side by '10'. y = 2.3 Simplifying y = 2.3
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