(4y+2)=2(3y-25)

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Solution for (4y+2)=2(3y-25) equation:


Simplifying
(4y + 2) = 2(3y + -25)

Reorder the terms:
(2 + 4y) = 2(3y + -25)

Remove parenthesis around (2 + 4y)
2 + 4y = 2(3y + -25)

Reorder the terms:
2 + 4y = 2(-25 + 3y)
2 + 4y = (-25 * 2 + 3y * 2)
2 + 4y = (-50 + 6y)

Solving
2 + 4y = -50 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
2 + 4y + -6y = -50 + 6y + -6y

Combine like terms: 4y + -6y = -2y
2 + -2y = -50 + 6y + -6y

Combine like terms: 6y + -6y = 0
2 + -2y = -50 + 0
2 + -2y = -50

Add '-2' to each side of the equation.
2 + -2 + -2y = -50 + -2

Combine like terms: 2 + -2 = 0
0 + -2y = -50 + -2
-2y = -50 + -2

Combine like terms: -50 + -2 = -52
-2y = -52

Divide each side by '-2'.
y = 26

Simplifying
y = 26

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