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Simplifying 4 + -2(y + 6) = 11 + -3y Reorder the terms: 4 + -2(6 + y) = 11 + -3y 4 + (6 * -2 + y * -2) = 11 + -3y 4 + (-12 + -2y) = 11 + -3y Combine like terms: 4 + -12 = -8 -8 + -2y = 11 + -3y Solving -8 + -2y = 11 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -8 + -2y + 3y = 11 + -3y + 3y Combine like terms: -2y + 3y = 1y -8 + 1y = 11 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 1y = 11 + 0 -8 + 1y = 11 Add '8' to each side of the equation. -8 + 8 + 1y = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = 11 + 8 1y = 11 + 8 Combine like terms: 11 + 8 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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