5y-4(46+8y)=22

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Solution for 5y-4(46+8y)=22 equation:


Simplifying
5y + -4(46 + 8y) = 22
5y + (46 * -4 + 8y * -4) = 22
5y + (-184 + -32y) = 22

Reorder the terms:
-184 + 5y + -32y = 22

Combine like terms: 5y + -32y = -27y
-184 + -27y = 22

Solving
-184 + -27y = 22

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '184' to each side of the equation.
-184 + 184 + -27y = 22 + 184

Combine like terms: -184 + 184 = 0
0 + -27y = 22 + 184
-27y = 22 + 184

Combine like terms: 22 + 184 = 206
-27y = 206

Divide each side by '-27'.
y = -7.62962963

Simplifying
y = -7.62962963

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