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Simplifying -33 = 5(y + -8) + 2y Reorder the terms: -33 = 5(-8 + y) + 2y -33 = (-8 * 5 + y * 5) + 2y -33 = (-40 + 5y) + 2y Combine like terms: 5y + 2y = 7y -33 = -40 + 7y Solving -33 = -40 + 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 + -7y = -40 + 7y + -7y Combine like terms: 7y + -7y = 0 -33 + -7y = -40 + 0 -33 + -7y = -40 Add '33' to each side of the equation. -33 + 33 + -7y = -40 + 33 Combine like terms: -33 + 33 = 0 0 + -7y = -40 + 33 -7y = -40 + 33 Combine like terms: -40 + 33 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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