2(3y-5)+4(y+8)=3y+29

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Solution for 2(3y-5)+4(y+8)=3y+29 equation: 


Simplifying
2(3y + -5) + 4(y + 8) = 3y + 29

Reorder the terms:
2(-5 + 3y) + 4(y + 8) = 3y + 29
(-5 * 2 + 3y * 2) + 4(y + 8) = 3y + 29
(-10 + 6y) + 4(y + 8) = 3y + 29

Reorder the terms:
-10 + 6y + 4(8 + y) = 3y + 29
-10 + 6y + (8 * 4 + y * 4) = 3y + 29
-10 + 6y + (32 + 4y) = 3y + 29

Reorder the terms:
-10 + 32 + 6y + 4y = 3y + 29

Combine like terms: -10 + 32 = 22
22 + 6y + 4y = 3y + 29

Combine like terms: 6y + 4y = 10y
22 + 10y = 3y + 29

Reorder the terms:
22 + 10y = 29 + 3y

Solving
22 + 10y = 29 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
22 + 10y + -3y = 29 + 3y + -3y

Combine like terms: 10y + -3y = 7y
22 + 7y = 29 + 3y + -3y

Combine like terms: 3y + -3y = 0
22 + 7y = 29 + 0
22 + 7y = 29

Add '-22' to each side of the equation.
22 + -22 + 7y = 29 + -22

Combine like terms: 22 + -22 = 0
0 + 7y = 29 + -22
7y = 29 + -22

Combine like terms: 29 + -22 = 7
7y = 7

Divide each side by '7'.
y = 1

Simplifying
y = 1

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