2(2y-3)+2(7y+1)+4=3(5y-1)+4

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Solution for 2(2y-3)+2(7y+1)+4=3(5y-1)+4 equation:


Simplifying
2(2y + -3) + 2(7y + 1) + 4 = 3(5y + -1) + 4

Reorder the terms:
2(-3 + 2y) + 2(7y + 1) + 4 = 3(5y + -1) + 4
(-3 * 2 + 2y * 2) + 2(7y + 1) + 4 = 3(5y + -1) + 4
(-6 + 4y) + 2(7y + 1) + 4 = 3(5y + -1) + 4

Reorder the terms:
-6 + 4y + 2(1 + 7y) + 4 = 3(5y + -1) + 4
-6 + 4y + (1 * 2 + 7y * 2) + 4 = 3(5y + -1) + 4
-6 + 4y + (2 + 14y) + 4 = 3(5y + -1) + 4

Reorder the terms:
-6 + 2 + 4 + 4y + 14y = 3(5y + -1) + 4

Combine like terms: -6 + 2 = -4
-4 + 4 + 4y + 14y = 3(5y + -1) + 4

Combine like terms: -4 + 4 = 0
0 + 4y + 14y = 3(5y + -1) + 4
4y + 14y = 3(5y + -1) + 4

Combine like terms: 4y + 14y = 18y
18y = 3(5y + -1) + 4

Reorder the terms:
18y = 3(-1 + 5y) + 4
18y = (-1 * 3 + 5y * 3) + 4
18y = (-3 + 15y) + 4

Reorder the terms:
18y = -3 + 4 + 15y

Combine like terms: -3 + 4 = 1
18y = 1 + 15y

Solving
18y = 1 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
18y + -15y = 1 + 15y + -15y

Combine like terms: 18y + -15y = 3y
3y = 1 + 15y + -15y

Combine like terms: 15y + -15y = 0
3y = 1 + 0
3y = 1

Divide each side by '3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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