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Simplifying 6(y + -9) = 4(y + -5) Reorder the terms: 6(-9 + y) = 4(y + -5) (-9 * 6 + y * 6) = 4(y + -5) (-54 + 6y) = 4(y + -5) Reorder the terms: -54 + 6y = 4(-5 + y) -54 + 6y = (-5 * 4 + y * 4) -54 + 6y = (-20 + 4y) Solving -54 + 6y = -20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -54 + 6y + -4y = -20 + 4y + -4y Combine like terms: 6y + -4y = 2y -54 + 2y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 -54 + 2y = -20 + 0 -54 + 2y = -20 Add '54' to each side of the equation. -54 + 54 + 2y = -20 + 54 Combine like terms: -54 + 54 = 0 0 + 2y = -20 + 54 2y = -20 + 54 Combine like terms: -20 + 54 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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