4(3y+5)+3y=2(8y+3)+5

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Solution for 4(3y+5)+3y=2(8y+3)+5 equation:


Simplifying
4(3y + 5) + 3y = 2(8y + 3) + 5

Reorder the terms:
4(5 + 3y) + 3y = 2(8y + 3) + 5
(5 * 4 + 3y * 4) + 3y = 2(8y + 3) + 5
(20 + 12y) + 3y = 2(8y + 3) + 5

Combine like terms: 12y + 3y = 15y
20 + 15y = 2(8y + 3) + 5

Reorder the terms:
20 + 15y = 2(3 + 8y) + 5
20 + 15y = (3 * 2 + 8y * 2) + 5
20 + 15y = (6 + 16y) + 5

Reorder the terms:
20 + 15y = 6 + 5 + 16y

Combine like terms: 6 + 5 = 11
20 + 15y = 11 + 16y

Solving
20 + 15y = 11 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
20 + 15y + -16y = 11 + 16y + -16y

Combine like terms: 15y + -16y = -1y
20 + -1y = 11 + 16y + -16y

Combine like terms: 16y + -16y = 0
20 + -1y = 11 + 0
20 + -1y = 11

Add '-20' to each side of the equation.
20 + -20 + -1y = 11 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = 11 + -20
-1y = 11 + -20

Combine like terms: 11 + -20 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9

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