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Simplifying -4(3y + -6) + -1y = -3(y + -2) Reorder the terms: -4(-6 + 3y) + -1y = -3(y + -2) (-6 * -4 + 3y * -4) + -1y = -3(y + -2) (24 + -12y) + -1y = -3(y + -2) Combine like terms: -12y + -1y = -13y 24 + -13y = -3(y + -2) Reorder the terms: 24 + -13y = -3(-2 + y) 24 + -13y = (-2 * -3 + y * -3) 24 + -13y = (6 + -3y) Solving 24 + -13y = 6 + -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. 24 + -13y + 3y = 6 + -3y + 3y Combine like terms: -13y + 3y = -10y 24 + -10y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 24 + -10y = 6 + 0 24 + -10y = 6 Add '-24' to each side of the equation. 24 + -24 + -10y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -10y = 6 + -24 -10y = 6 + -24 Combine like terms: 6 + -24 = -18 -10y = -18 Divide each side by '-10'. y = 1.8 Simplifying y = 1.8
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