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