2(4y+2)+15=4(3y-5)+20

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Solution for 2(4y+2)+15=4(3y-5)+20 equation:


Simplifying
2(4y + 2) + 15 = 4(3y + -5) + 20

Reorder the terms:
2(2 + 4y) + 15 = 4(3y + -5) + 20
(2 * 2 + 4y * 2) + 15 = 4(3y + -5) + 20
(4 + 8y) + 15 = 4(3y + -5) + 20

Reorder the terms:
4 + 15 + 8y = 4(3y + -5) + 20

Combine like terms: 4 + 15 = 19
19 + 8y = 4(3y + -5) + 20

Reorder the terms:
19 + 8y = 4(-5 + 3y) + 20
19 + 8y = (-5 * 4 + 3y * 4) + 20
19 + 8y = (-20 + 12y) + 20

Reorder the terms:
19 + 8y = -20 + 20 + 12y

Combine like terms: -20 + 20 = 0
19 + 8y = 0 + 12y
19 + 8y = 12y

Solving
19 + 8y = 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
19 + 8y + -12y = 12y + -12y

Combine like terms: 8y + -12y = -4y
19 + -4y = 12y + -12y

Combine like terms: 12y + -12y = 0
19 + -4y = 0

Add '-19' to each side of the equation.
19 + -19 + -4y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4y = 0 + -19
-4y = 0 + -19

Combine like terms: 0 + -19 = -19
-4y = -19

Divide each side by '-4'.
y = 4.75

Simplifying
y = 4.75

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