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Simplifying -2(-3y + 1) + -1(5y + -4) + 3y + 1 = 0 Reorder the terms: -2(1 + -3y) + -1(5y + -4) + 3y + 1 = 0 (1 * -2 + -3y * -2) + -1(5y + -4) + 3y + 1 = 0 (-2 + 6y) + -1(5y + -4) + 3y + 1 = 0 Reorder the terms: -2 + 6y + -1(-4 + 5y) + 3y + 1 = 0 -2 + 6y + (-4 * -1 + 5y * -1) + 3y + 1 = 0 -2 + 6y + (4 + -5y) + 3y + 1 = 0 Reorder the terms: -2 + 4 + 1 + 6y + -5y + 3y = 0 Combine like terms: -2 + 4 = 2 2 + 1 + 6y + -5y + 3y = 0 Combine like terms: 2 + 1 = 3 3 + 6y + -5y + 3y = 0 Combine like terms: 6y + -5y = 1y 3 + 1y + 3y = 0 Combine like terms: 1y + 3y = 4y 3 + 4y = 0 Solving 3 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75
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