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Simplifying 4y + -1(6y + 2) = -2(3y + 8) Reorder the terms: 4y + -1(2 + 6y) = -2(3y + 8) 4y + (2 * -1 + 6y * -1) = -2(3y + 8) 4y + (-2 + -6y) = -2(3y + 8) Reorder the terms: -2 + 4y + -6y = -2(3y + 8) Combine like terms: 4y + -6y = -2y -2 + -2y = -2(3y + 8) Reorder the terms: -2 + -2y = -2(8 + 3y) -2 + -2y = (8 * -2 + 3y * -2) -2 + -2y = (-16 + -6y) Solving -2 + -2y = -16 + -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. -2 + -2y + 6y = -16 + -6y + 6y Combine like terms: -2y + 6y = 4y -2 + 4y = -16 + -6y + 6y Combine like terms: -6y + 6y = 0 -2 + 4y = -16 + 0 -2 + 4y = -16 Add '2' to each side of the equation. -2 + 2 + 4y = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 4y = -16 + 2 4y = -16 + 2 Combine like terms: -16 + 2 = -14 4y = -14 Divide each side by '4'. y = -3.5 Simplifying y = -3.5
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