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Simplifying 5(2y + -1) + -6(y + 2) + 3 = 6 Reorder the terms: 5(-1 + 2y) + -6(y + 2) + 3 = 6 (-1 * 5 + 2y * 5) + -6(y + 2) + 3 = 6 (-5 + 10y) + -6(y + 2) + 3 = 6 Reorder the terms: -5 + 10y + -6(2 + y) + 3 = 6 -5 + 10y + (2 * -6 + y * -6) + 3 = 6 -5 + 10y + (-12 + -6y) + 3 = 6 Reorder the terms: -5 + -12 + 3 + 10y + -6y = 6 Combine like terms: -5 + -12 = -17 -17 + 3 + 10y + -6y = 6 Combine like terms: -17 + 3 = -14 -14 + 10y + -6y = 6 Combine like terms: 10y + -6y = 4y -14 + 4y = 6 Solving -14 + 4y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4y = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 4y = 6 + 14 4y = 6 + 14 Combine like terms: 6 + 14 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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