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Simplifying -2(3y + -6) + -1y = -3(y + -4) Reorder the terms: -2(-6 + 3y) + -1y = -3(y + -4) (-6 * -2 + 3y * -2) + -1y = -3(y + -4) (12 + -6y) + -1y = -3(y + -4) Combine like terms: -6y + -1y = -7y 12 + -7y = -3(y + -4) Reorder the terms: 12 + -7y = -3(-4 + y) 12 + -7y = (-4 * -3 + y * -3) 12 + -7y = (12 + -3y) Add '-12' to each side of the equation. 12 + -12 + -7y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 0 + -7y = 12 + -12 + -3y -7y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 -7y = 0 + -3y -7y = -3y Solving -7y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -7y + 3y = -3y + 3y Combine like terms: -7y + 3y = -4y -4y = -3y + 3y Combine like terms: -3y + 3y = 0 -4y = 0 Divide each side by '-4'. y = 0 Simplifying y = 0
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