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Simplifying 2(3 + -5y) + 2 + -1(2y + 4) = 0 (3 * 2 + -5y * 2) + 2 + -1(2y + 4) = 0 (6 + -10y) + 2 + -1(2y + 4) = 0 Reorder the terms: 6 + -10y + 2 + -1(4 + 2y) = 0 6 + -10y + 2 + (4 * -1 + 2y * -1) = 0 6 + -10y + 2 + (-4 + -2y) = 0 Reorder the terms: 6 + 2 + -4 + -10y + -2y = 0 Combine like terms: 6 + 2 = 8 8 + -4 + -10y + -2y = 0 Combine like terms: 8 + -4 = 4 4 + -10y + -2y = 0 Combine like terms: -10y + -2y = -12y 4 + -12y = 0 Solving 4 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -12y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12y = 0 + -4 -12y = 0 + -4 Combine like terms: 0 + -4 = -4 -12y = -4 Divide each side by '-12'. y = 0.3333333333 Simplifying y = 0.3333333333
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