Question

(5y-7)-(2y-35)=3-(1-4y)​

Answer 1

☃️ Question :-

$\sf (5y-7)-(2y-35) = 3 - (1 - 4y), \\ \sf Find \:the\:value\:of\:y.$

☃️ Solution :-

$\mapsto \sf 5y-7-2y+35=3-1+4y$

$\mapsto \sf 5y-2y-4y-7+35+1-3=0$

$\mapsto \sf -y + 26 = 0$

$\mapsto \sf -y = -26$

$\mapsto \sf y =26$

Therefore, y = 26 for (5y-7)-(2y-35)=3-(1-4y).

☃️ Verification :-

Substituting y = 26 in (5y-7)-(2y-35)=3-(1-4y) :-

$\mapsto \sf [5(26)-7]-[2(26)+35]=3-[1-4(26)]$

$\mapsto \sf (130 - 7) - (52 - 35) = 3 - ( - 1 - 104)$

$\mapsto \sf (123) - (17) = 3 + 103$

$\mapsto \sf 106 = 106$

✍️LHS = RHS

✍️Hence, verified !!