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Simplifying 4y + -3 + 2(3y + 1) = -2(y + 2) Reorder the terms: 4y + -3 + 2(1 + 3y) = -2(y + 2) 4y + -3 + (1 * 2 + 3y * 2) = -2(y + 2) 4y + -3 + (2 + 6y) = -2(y + 2) Reorder the terms: -3 + 2 + 4y + 6y = -2(y + 2) Combine like terms: -3 + 2 = -1 -1 + 4y + 6y = -2(y + 2) Combine like terms: 4y + 6y = 10y -1 + 10y = -2(y + 2) Reorder the terms: -1 + 10y = -2(2 + y) -1 + 10y = (2 * -2 + y * -2) -1 + 10y = (-4 + -2y) Solving -1 + 10y = -4 + -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. -1 + 10y + 2y = -4 + -2y + 2y Combine like terms: 10y + 2y = 12y -1 + 12y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 -1 + 12y = -4 + 0 -1 + 12y = -4 Add '1' to each side of the equation. -1 + 1 + 12y = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 12y = -4 + 1 12y = -4 + 1 Combine like terms: -4 + 1 = -3 12y = -3 Divide each side by '12'. y = -0.25 Simplifying y = -0.25
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