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Simplifying 5(y + -1) = 3(y + -3) Reorder the terms: 5(-1 + y) = 3(y + -3) (-1 * 5 + y * 5) = 3(y + -3) (-5 + 5y) = 3(y + -3) Reorder the terms: -5 + 5y = 3(-3 + y) -5 + 5y = (-3 * 3 + y * 3) -5 + 5y = (-9 + 3y) Solving -5 + 5y = -9 + 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. -5 + 5y + -3y = -9 + 3y + -3y Combine like terms: 5y + -3y = 2y -5 + 2y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 2y = -9 + 0 -5 + 2y = -9 Add '5' to each side of the equation. -5 + 5 + 2y = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -9 + 5 2y = -9 + 5 Combine like terms: -9 + 5 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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