2*(y-7)+2y=3*(4+y)-1

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Solution for 2*(y-7)+2y=3*(4+y)-1 equation:


Simplifying
2(y + -7) + 2y = 3(4 + y) + -1

Reorder the terms:
2(-7 + y) + 2y = 3(4 + y) + -1
(-7 * 2 + y * 2) + 2y = 3(4 + y) + -1
(-14 + 2y) + 2y = 3(4 + y) + -1

Combine like terms: 2y + 2y = 4y
-14 + 4y = 3(4 + y) + -1
-14 + 4y = (4 * 3 + y * 3) + -1
-14 + 4y = (12 + 3y) + -1

Reorder the terms:
-14 + 4y = 12 + -1 + 3y

Combine like terms: 12 + -1 = 11
-14 + 4y = 11 + 3y

Solving
-14 + 4y = 11 + 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 = 11 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-14 + 1y = 11 + 3y + -3y

Combine like terms: 3y + -3y = 0
-14 + 1y = 11 + 0
-14 + 1y = 11

Add '14' to each side of the equation.
-14 + 14 + 1y = 11 + 14

Combine like terms: -14 + 14 = 0
0 + 1y = 11 + 14
1y = 11 + 14

Combine like terms: 11 + 14 = 25
1y = 25

Divide each side by '1'.
y = 25

Simplifying
y = 25

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