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Simplifying -3(3y + -4) + -1y = -2(y + -4) Reorder the terms: -3(-4 + 3y) + -1y = -2(y + -4) (-4 * -3 + 3y * -3) + -1y = -2(y + -4) (12 + -9y) + -1y = -2(y + -4) Combine like terms: -9y + -1y = -10y 12 + -10y = -2(y + -4) Reorder the terms: 12 + -10y = -2(-4 + y) 12 + -10y = (-4 * -2 + y * -2) 12 + -10y = (8 + -2y) Solving 12 + -10y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12 + -10y + 2y = 8 + -2y + 2y Combine like terms: -10y + 2y = -8y 12 + -8y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -8y = 8 + 0 12 + -8y = 8 Add '-12' to each side of the equation. 12 + -12 + -8y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = 8 + -12 -8y = 8 + -12 Combine like terms: 8 + -12 = -4 -8y = -4 Divide each side by '-8'. y = 0.5 Simplifying y = 0.5
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