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Simplifying y + -4(3y + -6) + 8 = y Reorder the terms: y + -4(-6 + 3y) + 8 = y y + (-6 * -4 + 3y * -4) + 8 = y y + (24 + -12y) + 8 = y Reorder the terms: 24 + 8 + y + -12y = y Combine like terms: 24 + 8 = 32 32 + y + -12y = y Combine like terms: y + -12y = -11y 32 + -11y = y Solving 32 + -11y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 32 + -11y + -1y = y + -1y Combine like terms: -11y + -1y = -12y 32 + -12y = y + -1y Combine like terms: y + -1y = 0 32 + -12y = 0 Add '-32' to each side of the equation. 32 + -32 + -12y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -12y = 0 + -32 -12y = 0 + -32 Combine like terms: 0 + -32 = -32 -12y = -32 Divide each side by '-12'. y = 2.666666667 Simplifying y = 2.666666667
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