5y+2(y-3)=4y+2(2y+10)

Solution for 5y+2(y-3)=4y+2(2y+10) equation:

Simplifying
5y + 2(y + -3) = 4y + 2(2y + 10)

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

Reorder the terms:
-6 + 5y + 2y = 4y + 2(2y + 10)

Combine like terms: 5y + 2y = 7y
-6 + 7y = 4y + 2(2y + 10)

Reorder the terms:
-6 + 7y = 4y + 2(10 + 2y)
-6 + 7y = 4y + (10 * 2 + 2y * 2)
-6 + 7y = 4y + (20 + 4y)

Reorder the terms:
-6 + 7y = 20 + 4y + 4y

Combine like terms: 4y + 4y = 8y
-6 + 7y = 20 + 8y

Solving
-6 + 7y = 20 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-6 + 7y + -8y = 20 + 8y + -8y

Combine like terms: 7y + -8y = -1y
-6 + -1y = 20 + 8y + -8y

Combine like terms: 8y + -8y = 0
-6 + -1y = 20 + 0
-6 + -1y = 20

Add '6' to each side of the equation.
-6 + 6 + -1y = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 20 + 6
-1y = 20 + 6

Combine like terms: 20 + 6 = 26
-1y = 26

Divide each side by '-1'.
y = -26

Simplifying
y = -26