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Simplifying 2 + -4(y + -9) = 6 + 8y Reorder the terms: 2 + -4(-9 + y) = 6 + 8y 2 + (-9 * -4 + y * -4) = 6 + 8y 2 + (36 + -4y) = 6 + 8y Combine like terms: 2 + 36 = 38 38 + -4y = 6 + 8y Solving 38 + -4y = 6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 38 + -4y + -8y = 6 + 8y + -8y Combine like terms: -4y + -8y = -12y 38 + -12y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 38 + -12y = 6 + 0 38 + -12y = 6 Add '-38' to each side of the equation. 38 + -38 + -12y = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -12y = 6 + -38 -12y = 6 + -38 Combine like terms: 6 + -38 = -32 -12y = -32 Divide each side by '-12'. y = 2.666666667 Simplifying y = 2.666666667
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