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Simplifying (4y + -12) * 2 + -1(y + -3) * 2 = 0 Reorder the terms: (-12 + 4y) * 2 + -1(y + -3) * 2 = 0 Reorder the terms for easier multiplication: 2(-12 + 4y) + -1(y + -3) * 2 = 0 (-12 * 2 + 4y * 2) + -1(y + -3) * 2 = 0 (-24 + 8y) + -1(y + -3) * 2 = 0 Reorder the terms: -24 + 8y + -1(-3 + y) * 2 = 0 Reorder the terms for easier multiplication: -24 + 8y + -1 * 2(-3 + y) = 0 Multiply -1 * 2 -24 + 8y + -2(-3 + y) = 0 -24 + 8y + (-3 * -2 + y * -2) = 0 -24 + 8y + (6 + -2y) = 0 Reorder the terms: -24 + 6 + 8y + -2y = 0 Combine like terms: -24 + 6 = -18 -18 + 8y + -2y = 0 Combine like terms: 8y + -2y = 6y -18 + 6y = 0 Solving -18 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 6y = 0 + 18 6y = 0 + 18 Combine like terms: 0 + 18 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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