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Simplifying 6(9y + -5) = 7(6y + 2) Reorder the terms: 6(-5 + 9y) = 7(6y + 2) (-5 * 6 + 9y * 6) = 7(6y + 2) (-30 + 54y) = 7(6y + 2) Reorder the terms: -30 + 54y = 7(2 + 6y) -30 + 54y = (2 * 7 + 6y * 7) -30 + 54y = (14 + 42y) Solving -30 + 54y = 14 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. -30 + 54y + -42y = 14 + 42y + -42y Combine like terms: 54y + -42y = 12y -30 + 12y = 14 + 42y + -42y Combine like terms: 42y + -42y = 0 -30 + 12y = 14 + 0 -30 + 12y = 14 Add '30' to each side of the equation. -30 + 30 + 12y = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 12y = 14 + 30 12y = 14 + 30 Combine like terms: 14 + 30 = 44 12y = 44 Divide each side by '12'. y = 3.666666667 Simplifying y = 3.666666667
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