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Simplifying 4(y + -3) + -1(6y + -6) = 0 Reorder the terms: 4(-3 + y) + -1(6y + -6) = 0 (-3 * 4 + y * 4) + -1(6y + -6) = 0 (-12 + 4y) + -1(6y + -6) = 0 Reorder the terms: -12 + 4y + -1(-6 + 6y) = 0 -12 + 4y + (-6 * -1 + 6y * -1) = 0 -12 + 4y + (6 + -6y) = 0 Reorder the terms: -12 + 6 + 4y + -6y = 0 Combine like terms: -12 + 6 = -6 -6 + 4y + -6y = 0 Combine like terms: 4y + -6y = -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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