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