2(2y-7)=3y+4

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


Simplifying
2(2y + -7) = 3y + 4

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

Reorder the terms:
-14 + 4y = 4 + 3y

Solving
-14 + 4y = 4 + 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.
-14 + 4y + -3y = 4 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-14 + 1y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
-14 + 1y = 4 + 0
-14 + 1y = 4

Add '14' to each side of the equation.
-14 + 14 + 1y = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 1y = 4 + 14
1y = 4 + 14

Combine like terms: 4 + 14 = 18
1y = 18

Divide each side by '1'.
y = 18

Simplifying
y = 18

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