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Simplifying 7(6y + -27) = 3y + -9 Reorder the terms: 7(-27 + 6y) = 3y + -9 (-27 * 7 + 6y * 7) = 3y + -9 (-189 + 42y) = 3y + -9 Reorder the terms: -189 + 42y = -9 + 3y Solving -189 + 42y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -189 + 42y + -3y = -9 + 3y + -3y Combine like terms: 42y + -3y = 39y -189 + 39y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -189 + 39y = -9 + 0 -189 + 39y = -9 Add '189' to each side of the equation. -189 + 189 + 39y = -9 + 189 Combine like terms: -189 + 189 = 0 0 + 39y = -9 + 189 39y = -9 + 189 Combine like terms: -9 + 189 = 180 39y = 180 Divide each side by '39'. y = 4.615384615 Simplifying y = 4.615384615
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