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Simplifying 4y + -1(8 + 2y) = -2(y + 6) 4y + (8 * -1 + 2y * -1) = -2(y + 6) 4y + (-8 + -2y) = -2(y + 6) Reorder the terms: -8 + 4y + -2y = -2(y + 6) Combine like terms: 4y + -2y = 2y -8 + 2y = -2(y + 6) Reorder the terms: -8 + 2y = -2(6 + y) -8 + 2y = (6 * -2 + y * -2) -8 + 2y = (-12 + -2y) Solving -8 + 2y = -12 + -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. -8 + 2y + 2y = -12 + -2y + 2y Combine like terms: 2y + 2y = 4y -8 + 4y = -12 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 4y = -12 + 0 -8 + 4y = -12 Add '8' to each side of the equation. -8 + 8 + 4y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -12 + 8 4y = -12 + 8 Combine like terms: -12 + 8 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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