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Simplifying 7y + -1(5y + 3) = 5(y + -3) + 2 Reorder the terms: 7y + -1(3 + 5y) = 5(y + -3) + 2 7y + (3 * -1 + 5y * -1) = 5(y + -3) + 2 7y + (-3 + -5y) = 5(y + -3) + 2 Reorder the terms: -3 + 7y + -5y = 5(y + -3) + 2 Combine like terms: 7y + -5y = 2y -3 + 2y = 5(y + -3) + 2 Reorder the terms: -3 + 2y = 5(-3 + y) + 2 -3 + 2y = (-3 * 5 + y * 5) + 2 -3 + 2y = (-15 + 5y) + 2 Reorder the terms: -3 + 2y = -15 + 2 + 5y Combine like terms: -15 + 2 = -13 -3 + 2y = -13 + 5y Solving -3 + 2y = -13 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -3 + 2y + -5y = -13 + 5y + -5y Combine like terms: 2y + -5y = -3y -3 + -3y = -13 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + -3y = -13 + 0 -3 + -3y = -13 Add '3' to each side of the equation. -3 + 3 + -3y = -13 + 3 Combine like terms: -3 + 3 = 0 0 + -3y = -13 + 3 -3y = -13 + 3 Combine like terms: -13 + 3 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333
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