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Simplifying 4(2y + -1) + -2(3y) = 11 Reorder the terms: 4(-1 + 2y) + -2(3y) = 11 (-1 * 4 + 2y * 4) + -2(3y) = 11 (-4 + 8y) + -2(3y) = 11 Remove parenthesis around (3y) -4 + 8y + -2 * 3y = 11 Multiply -2 * 3 -4 + 8y + -6y = 11 Combine like terms: 8y + -6y = 2y -4 + 2y = 11 Solving -4 + 2y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2y = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 11 + 4 2y = 11 + 4 Combine like terms: 11 + 4 = 15 2y = 15 Divide each side by '2'. y = 7.5 Simplifying y = 7.5
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