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Simplifying 11(2y + -8) = -4(7 + -3y) Reorder the terms: 11(-8 + 2y) = -4(7 + -3y) (-8 * 11 + 2y * 11) = -4(7 + -3y) (-88 + 22y) = -4(7 + -3y) -88 + 22y = (7 * -4 + -3y * -4) -88 + 22y = (-28 + 12y) Solving -88 + 22y = -28 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -88 + 22y + -12y = -28 + 12y + -12y Combine like terms: 22y + -12y = 10y -88 + 10y = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 -88 + 10y = -28 + 0 -88 + 10y = -28 Add '88' to each side of the equation. -88 + 88 + 10y = -28 + 88 Combine like terms: -88 + 88 = 0 0 + 10y = -28 + 88 10y = -28 + 88 Combine like terms: -28 + 88 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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