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Simplifying 4y + 2 + -4(-2y + -1) = 2(y + -4) Reorder the terms: 4y + 2 + -4(-1 + -2y) = 2(y + -4) 4y + 2 + (-1 * -4 + -2y * -4) = 2(y + -4) 4y + 2 + (4 + 8y) = 2(y + -4) Reorder the terms: 2 + 4 + 4y + 8y = 2(y + -4) Combine like terms: 2 + 4 = 6 6 + 4y + 8y = 2(y + -4) Combine like terms: 4y + 8y = 12y 6 + 12y = 2(y + -4) Reorder the terms: 6 + 12y = 2(-4 + y) 6 + 12y = (-4 * 2 + y * 2) 6 + 12y = (-8 + 2y) Solving 6 + 12y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 6 + 12y + -2y = -8 + 2y + -2y Combine like terms: 12y + -2y = 10y 6 + 10y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 10y = -8 + 0 6 + 10y = -8 Add '-6' to each side of the equation. 6 + -6 + 10y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 10y = -8 + -6 10y = -8 + -6 Combine like terms: -8 + -6 = -14 10y = -14 Divide each side by '10'. y = -1.4 Simplifying y = -1.4
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