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Simplifying -5y + 33 = -7(y + -3) Reorder the terms: 33 + -5y = -7(y + -3) Reorder the terms: 33 + -5y = -7(-3 + y) 33 + -5y = (-3 * -7 + y * -7) 33 + -5y = (21 + -7y) Solving 33 + -5y = 21 + -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 = 21 + -7y + 7y Combine like terms: -5y + 7y = 2y 33 + 2y = 21 + -7y + 7y Combine like terms: -7y + 7y = 0 33 + 2y = 21 + 0 33 + 2y = 21 Add '-33' to each side of the equation. 33 + -33 + 2y = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 2y = 21 + -33 2y = 21 + -33 Combine like terms: 21 + -33 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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