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Simplifying -5y + 33 = -7(y + -5) Reorder the terms: 33 + -5y = -7(y + -5) Reorder the terms: 33 + -5y = -7(-5 + y) 33 + -5y = (-5 * -7 + y * -7) 33 + -5y = (35 + -7y) Solving 33 + -5y = 35 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 33 + -5y + 7y = 35 + -7y + 7y Combine like terms: -5y + 7y = 2y 33 + 2y = 35 + -7y + 7y Combine like terms: -7y + 7y = 0 33 + 2y = 35 + 0 33 + 2y = 35 Add '-33' to each side of the equation. 33 + -33 + 2y = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 2y = 35 + -33 2y = 35 + -33 Combine like terms: 35 + -33 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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