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Question:

Solve the following equation and check your results: 2y + 53 = 263 - y

Solution:

Transpose 53 to RHS and y to LHS
2y + y = 263 - 53
→ 3y = 210
→ 3y = 210
→ y = 70
Divide both sides by 3
y = 70
LHS → 2y + 53 = 2 × 70 + 53 = 140 + 53 = 193
RHS → 263 - y = 263 - 70 = 193
LHS = RHS
Hence proved.