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Simplifying -4(-1y + 3) = 12y + 8 + -2y Reorder the terms: -4(3 + -1y) = 12y + 8 + -2y (3 * -4 + -1y * -4) = 12y + 8 + -2y (-12 + 4y) = 12y + 8 + -2y Reorder the terms: -12 + 4y = 8 + 12y + -2y Combine like terms: 12y + -2y = 10y -12 + 4y = 8 + 10y Solving -12 + 4y = 8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -12 + 4y + -10y = 8 + 10y + -10y Combine like terms: 4y + -10y = -6y -12 + -6y = 8 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + -6y = 8 + 0 -12 + -6y = 8 Add '12' to each side of the equation. -12 + 12 + -6y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -6y = 8 + 12 -6y = 8 + 12 Combine like terms: 8 + 12 = 20 -6y = 20 Divide each side by '-6'. y = -3.333333333 Simplifying y = -3.333333333
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