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Simplifying -2(4y + -6) + -1y = -3(y + -4) Reorder the terms: -2(-6 + 4y) + -1y = -3(y + -4) (-6 * -2 + 4y * -2) + -1y = -3(y + -4) (12 + -8y) + -1y = -3(y + -4) Combine like terms: -8y + -1y = -9y 12 + -9y = -3(y + -4) Reorder the terms: 12 + -9y = -3(-4 + y) 12 + -9y = (-4 * -3 + y * -3) 12 + -9y = (12 + -3y) Add '-12' to each side of the equation. 12 + -12 + -9y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 0 + -9y = 12 + -12 + -3y -9y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 -9y = 0 + -3y -9y = -3y Solving -9y = -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. -9y + 3y = -3y + 3y Combine like terms: -9y + 3y = -6y -6y = -3y + 3y Combine like terms: -3y + 3y = 0 -6y = 0 Divide each side by '-6'. y = 0 Simplifying y = 0
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