6(5y-5)-21=2(4y+3)+23

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Solution for 6(5y-5)-21=2(4y+3)+23 equation:


Simplifying
6(5y + -5) + -21 = 2(4y + 3) + 23

Reorder the terms:
6(-5 + 5y) + -21 = 2(4y + 3) + 23
(-5 * 6 + 5y * 6) + -21 = 2(4y + 3) + 23
(-30 + 30y) + -21 = 2(4y + 3) + 23

Reorder the terms:
-30 + -21 + 30y = 2(4y + 3) + 23

Combine like terms: -30 + -21 = -51
-51 + 30y = 2(4y + 3) + 23

Reorder the terms:
-51 + 30y = 2(3 + 4y) + 23
-51 + 30y = (3 * 2 + 4y * 2) + 23
-51 + 30y = (6 + 8y) + 23

Reorder the terms:
-51 + 30y = 6 + 23 + 8y

Combine like terms: 6 + 23 = 29
-51 + 30y = 29 + 8y

Solving
-51 + 30y = 29 + 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.
-51 + 30y + -8y = 29 + 8y + -8y

Combine like terms: 30y + -8y = 22y
-51 + 22y = 29 + 8y + -8y

Combine like terms: 8y + -8y = 0
-51 + 22y = 29 + 0
-51 + 22y = 29

Add '51' to each side of the equation.
-51 + 51 + 22y = 29 + 51

Combine like terms: -51 + 51 = 0
0 + 22y = 29 + 51
22y = 29 + 51

Combine like terms: 29 + 51 = 80
22y = 80

Divide each side by '22'.
y = 3.636363636

Simplifying
y = 3.636363636

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