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7\left(400+9y\right)-55y=4400
Multiply both sides of the equation by 11.
2800+63y-55y=4400
Use the distributive property to multiply 7 by 400+9y.
2800+8y=4400
Combine 63y and -55y to get 8y.
8y=4400-2800
Subtract 2800 from both sides.
8y=1600
Subtract 2800 from 4400 to get 1600.
y=\frac{1600}{8}
Divide both sides by 8.
y=200
Divide 1600 by 8 to get 200.