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Simplifying 3(2y + -4) = 2(1 + -5y) + 11 Reorder the terms: 3(-4 + 2y) = 2(1 + -5y) + 11 (-4 * 3 + 2y * 3) = 2(1 + -5y) + 11 (-12 + 6y) = 2(1 + -5y) + 11 -12 + 6y = (1 * 2 + -5y * 2) + 11 -12 + 6y = (2 + -10y) + 11 Reorder the terms: -12 + 6y = 2 + 11 + -10y Combine like terms: 2 + 11 = 13 -12 + 6y = 13 + -10y Solving -12 + 6y = 13 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -12 + 6y + 10y = 13 + -10y + 10y Combine like terms: 6y + 10y = 16y -12 + 16y = 13 + -10y + 10y Combine like terms: -10y + 10y = 0 -12 + 16y = 13 + 0 -12 + 16y = 13 Add '12' to each side of the equation. -12 + 12 + 16y = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 16y = 13 + 12 16y = 13 + 12 Combine like terms: 13 + 12 = 25 16y = 25 Divide each side by '16'. y = 1.5625 Simplifying y = 1.5625
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