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Simplifying -3(4y + -6) + -1y = -4(y + -2) Reorder the terms: -3(-6 + 4y) + -1y = -4(y + -2) (-6 * -3 + 4y * -3) + -1y = -4(y + -2) (18 + -12y) + -1y = -4(y + -2) Combine like terms: -12y + -1y = -13y 18 + -13y = -4(y + -2) Reorder the terms: 18 + -13y = -4(-2 + y) 18 + -13y = (-2 * -4 + y * -4) 18 + -13y = (8 + -4y) Solving 18 + -13y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 18 + -13y + 4y = 8 + -4y + 4y Combine like terms: -13y + 4y = -9y 18 + -9y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 18 + -9y = 8 + 0 18 + -9y = 8 Add '-18' to each side of the equation. 18 + -18 + -9y = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -9y = 8 + -18 -9y = 8 + -18 Combine like terms: 8 + -18 = -10 -9y = -10 Divide each side by '-9'. y = 1.111111111 Simplifying y = 1.111111111
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