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Simplifying 2(y + -3) + 4(-5y + 2) = 0 Reorder the terms: 2(-3 + y) + 4(-5y + 2) = 0 (-3 * 2 + y * 2) + 4(-5y + 2) = 0 (-6 + 2y) + 4(-5y + 2) = 0 Reorder the terms: -6 + 2y + 4(2 + -5y) = 0 -6 + 2y + (2 * 4 + -5y * 4) = 0 -6 + 2y + (8 + -20y) = 0 Reorder the terms: -6 + 8 + 2y + -20y = 0 Combine like terms: -6 + 8 = 2 2 + 2y + -20y = 0 Combine like terms: 2y + -20y = -18y 2 + -18y = 0 Solving 2 + -18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -18y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -18y = 0 + -2 -18y = 0 + -2 Combine like terms: 0 + -2 = -2 -18y = -2 Divide each side by '-18'. y = 0.1111111111 Simplifying y = 0.1111111111
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