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Simplifying (3y + -11) + -1(y + 10) + -2y = 4y Reorder the terms: (-11 + 3y) + -1(y + 10) + -2y = 4y Remove parenthesis around (-11 + 3y) -11 + 3y + -1(y + 10) + -2y = 4y Reorder the terms: -11 + 3y + -1(10 + y) + -2y = 4y -11 + 3y + (10 * -1 + y * -1) + -2y = 4y -11 + 3y + (-10 + -1y) + -2y = 4y Reorder the terms: -11 + -10 + 3y + -1y + -2y = 4y Combine like terms: -11 + -10 = -21 -21 + 3y + -1y + -2y = 4y Combine like terms: 3y + -1y = 2y -21 + 2y + -2y = 4y Combine like terms: 2y + -2y = 0 -21 + 0 = 4y -21 = 4y Solving -21 = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -21 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -21 + -4y = 0 Add '21' to each side of the equation. -21 + 21 + -4y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4y = 0 + 21 -4y = 0 + 21 Combine like terms: 0 + 21 = 21 -4y = 21 Divide each side by '-4'. y = -5.25 Simplifying y = -5.25
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