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25\times 8=2\left(2y+4\right)
Multiply both sides of the equation by 150, the least common multiple of 6,75.
200=2\left(2y+4\right)
Multiply 25 and 8 to get 200.
200=4y+8
Use the distributive property to multiply 2 by 2y+4.
4y+8=200
Swap sides so that all variable terms are on the left hand side.
4y=200-8
Subtract 8 from both sides.
4y=192
Subtract 8 from 200 to get 192.
y=\frac{192}{4}
Divide both sides by 4.
y=48
Divide 192 by 4 to get 48.