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Simplifying -7y + 3 = -3(y + 5) + -2 Reorder the terms: 3 + -7y = -3(y + 5) + -2 Reorder the terms: 3 + -7y = -3(5 + y) + -2 3 + -7y = (5 * -3 + y * -3) + -2 3 + -7y = (-15 + -3y) + -2 Reorder the terms: 3 + -7y = -15 + -2 + -3y Combine like terms: -15 + -2 = -17 3 + -7y = -17 + -3y Solving 3 + -7y = -17 + -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. 3 + -7y + 3y = -17 + -3y + 3y Combine like terms: -7y + 3y = -4y 3 + -4y = -17 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + -4y = -17 + 0 3 + -4y = -17 Add '-3' to each side of the equation. 3 + -3 + -4y = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = -17 + -3 -4y = -17 + -3 Combine like terms: -17 + -3 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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