(6y - 9) + (5 - 3y) have same result with 1/2(6y - 8)
(6y - 8) + (6 - 5y) and (6y - 12) - (5y - 10) have same result with 1/6(6y - 12)
(6y - 8) - (4y - 5) have same result with 1/3(6y - 9)
Explanation:
Left hand side:
(6y - 8) + (6 - 5y)
simplifying:
6y - 8 + 6 - 5y
y - 2
(6y - 9) + (5 - 3y)
simplifying:
6y - 9 + 5 - 3y
3y - 4
(6y - 12) - (5y - 10)
6y - 12 - 5y + 10
y - 2
(6y - 8) - (4y - 5)
6y - 8 - 4y + 5
2y - 3
Right hand side:
1/2(6y - 8) = 1/2 × 2(3y - 4) = 3y - 4
1/3(6y - 9) = 1/3 × 3(2y -3) = 2y - 3
1/6(6y - 12) = 1/6 ×6(y - 2) = y - 2
matching the expression:
(6y - 9) + (5 - 3y) have same result with 1/2(6y - 8)
(6y - 8) + (6 - 5y) and (6y - 12) - (5y - 10) have same result with 1/6(6y - 12)
(6y - 8) - (4y - 5) have same result with 1/3(6y - 9)
