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Simplifying 8 + 4(3y + -4) = -4(2y + -2) + 2y Reorder the terms: 8 + 4(-4 + 3y) = -4(2y + -2) + 2y 8 + (-4 * 4 + 3y * 4) = -4(2y + -2) + 2y 8 + (-16 + 12y) = -4(2y + -2) + 2y Combine like terms: 8 + -16 = -8 -8 + 12y = -4(2y + -2) + 2y Reorder the terms: -8 + 12y = -4(-2 + 2y) + 2y -8 + 12y = (-2 * -4 + 2y * -4) + 2y -8 + 12y = (8 + -8y) + 2y Combine like terms: -8y + 2y = -6y -8 + 12y = 8 + -6y Solving -8 + 12y = 8 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -8 + 12y + 6y = 8 + -6y + 6y Combine like terms: 12y + 6y = 18y -8 + 18y = 8 + -6y + 6y Combine like terms: -6y + 6y = 0 -8 + 18y = 8 + 0 -8 + 18y = 8 Add '8' to each side of the equation. -8 + 8 + 18y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 18y = 8 + 8 18y = 8 + 8 Combine like terms: 8 + 8 = 16 18y = 16 Divide each side by '18'. y = 0.8888888889 Simplifying y = 0.8888888889
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