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Simplifying 10 + -4(3 + -1y) = -6 + -2(y + -2) 10 + (3 * -4 + -1y * -4) = -6 + -2(y + -2) 10 + (-12 + 4y) = -6 + -2(y + -2) Combine like terms: 10 + -12 = -2 -2 + 4y = -6 + -2(y + -2) Reorder the terms: -2 + 4y = -6 + -2(-2 + y) -2 + 4y = -6 + (-2 * -2 + y * -2) -2 + 4y = -6 + (4 + -2y) Combine like terms: -6 + 4 = -2 -2 + 4y = -2 + -2y Add '2' to each side of the equation. -2 + 2 + 4y = -2 + 2 + -2y Combine like terms: -2 + 2 = 0 0 + 4y = -2 + 2 + -2y 4y = -2 + 2 + -2y Combine like terms: -2 + 2 = 0 4y = 0 + -2y 4y = -2y Solving 4y = -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. 4y + 2y = -2y + 2y Combine like terms: 4y + 2y = 6y 6y = -2y + 2y Combine like terms: -2y + 2y = 0 6y = 0 Divide each side by '6'. y = 0 Simplifying y = 0
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