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Simplifying -3(4y + -6) + -1y = -3(y + -2) Reorder the terms: -3(-6 + 4y) + -1y = -3(y + -2) (-6 * -3 + 4y * -3) + -1y = -3(y + -2) (18 + -12y) + -1y = -3(y + -2) Combine like terms: -12y + -1y = -13y 18 + -13y = -3(y + -2) Reorder the terms: 18 + -13y = -3(-2 + y) 18 + -13y = (-2 * -3 + y * -3) 18 + -13y = (6 + -3y) Solving 18 + -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. 18 + -13y + 3y = 6 + -3y + 3y Combine like terms: -13y + 3y = -10y 18 + -10y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + -10y = 6 + 0 18 + -10y = 6 Add '-18' to each side of the equation. 18 + -18 + -10y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -10y = 6 + -18 -10y = 6 + -18 Combine like terms: 6 + -18 = -12 -10y = -12 Divide each side by '-10'. y = 1.2 Simplifying y = 1.2
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