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Simplifying 7y + 3 = -1(3y + 5) + -2 Reorder the terms: 3 + 7y = -1(3y + 5) + -2 Reorder the terms: 3 + 7y = -1(5 + 3y) + -2 3 + 7y = (5 * -1 + 3y * -1) + -2 3 + 7y = (-5 + -3y) + -2 Reorder the terms: 3 + 7y = -5 + -2 + -3y Combine like terms: -5 + -2 = -7 3 + 7y = -7 + -3y Solving 3 + 7y = -7 + -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 = -7 + -3y + 3y Combine like terms: 7y + 3y = 10y 3 + 10y = -7 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + 10y = -7 + 0 3 + 10y = -7 Add '-3' to each side of the equation. 3 + -3 + 10y = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 10y = -7 + -3 10y = -7 + -3 Combine like terms: -7 + -3 = -10 10y = -10 Divide each side by '10'. y = -1 Simplifying y = -1
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