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Simplifying 6(3y + 4) + -5(6y + 8) = 20 Reorder the terms: 6(4 + 3y) + -5(6y + 8) = 20 (4 * 6 + 3y * 6) + -5(6y + 8) = 20 (24 + 18y) + -5(6y + 8) = 20 Reorder the terms: 24 + 18y + -5(8 + 6y) = 20 24 + 18y + (8 * -5 + 6y * -5) = 20 24 + 18y + (-40 + -30y) = 20 Reorder the terms: 24 + -40 + 18y + -30y = 20 Combine like terms: 24 + -40 = -16 -16 + 18y + -30y = 20 Combine like terms: 18y + -30y = -12y -16 + -12y = 20 Solving -16 + -12y = 20 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -12y = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -12y = 20 + 16 -12y = 20 + 16 Combine like terms: 20 + 16 = 36 -12y = 36 Divide each side by '-12'. y = -3 Simplifying y = -3
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