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Simplifying 2y + -3(4 + -2y) = 2(y + -3) + 6 2y + (4 * -3 + -2y * -3) = 2(y + -3) + 6 2y + (-12 + 6y) = 2(y + -3) + 6 Reorder the terms: -12 + 2y + 6y = 2(y + -3) + 6 Combine like terms: 2y + 6y = 8y -12 + 8y = 2(y + -3) + 6 Reorder the terms: -12 + 8y = 2(-3 + y) + 6 -12 + 8y = (-3 * 2 + y * 2) + 6 -12 + 8y = (-6 + 2y) + 6 Reorder the terms: -12 + 8y = -6 + 6 + 2y Combine like terms: -6 + 6 = 0 -12 + 8y = 0 + 2y -12 + 8y = 2y Solving -12 + 8y = 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. -12 + 8y + -2y = 2y + -2y Combine like terms: 8y + -2y = 6y -12 + 6y = 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 6y = 0 Add '12' to each side of the equation. -12 + 12 + 6y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 0 + 12 6y = 0 + 12 Combine like terms: 0 + 12 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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