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Simplifying 5(2y + -11) + -2(3y) = 5 Reorder the terms: 5(-11 + 2y) + -2(3y) = 5 (-11 * 5 + 2y * 5) + -2(3y) = 5 (-55 + 10y) + -2(3y) = 5 Remove parenthesis around (3y) -55 + 10y + -2 * 3y = 5 Multiply -2 * 3 -55 + 10y + -6y = 5 Combine like terms: 10y + -6y = 4y -55 + 4y = 5 Solving -55 + 4y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 4y = 5 + 55 Combine like terms: -55 + 55 = 0 0 + 4y = 5 + 55 4y = 5 + 55 Combine like terms: 5 + 55 = 60 4y = 60 Divide each side by '4'. y = 15 Simplifying y = 15
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