3y+7(2y+6)-2+3(4y+9)=270

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Solution for 3y+7(2y+6)-2+3(4y+9)=270 equation: 


Simplifying
3y + 7(2y + 6) + -2 + 3(4y + 9) = 270

Reorder the terms:
3y + 7(6 + 2y) + -2 + 3(4y + 9) = 270
3y + (6 * 7 + 2y * 7) + -2 + 3(4y + 9) = 270
3y + (42 + 14y) + -2 + 3(4y + 9) = 270

Reorder the terms:
3y + 42 + 14y + -2 + 3(9 + 4y) = 270
3y + 42 + 14y + -2 + (9 * 3 + 4y * 3) = 270
3y + 42 + 14y + -2 + (27 + 12y) = 270

Reorder the terms:
42 + -2 + 27 + 3y + 14y + 12y = 270

Combine like terms: 42 + -2 = 40
40 + 27 + 3y + 14y + 12y = 270

Combine like terms: 40 + 27 = 67
67 + 3y + 14y + 12y = 270

Combine like terms: 3y + 14y = 17y
67 + 17y + 12y = 270

Combine like terms: 17y + 12y = 29y
67 + 29y = 270

Solving
67 + 29y = 270

Solving for variable 'y'.

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

Add '-67' to each side of the equation.
67 + -67 + 29y = 270 + -67

Combine like terms: 67 + -67 = 0
0 + 29y = 270 + -67
29y = 270 + -67

Combine like terms: 270 + -67 = 203
29y = 203

Divide each side by '29'.
y = 7

Simplifying
y = 7

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