7+4(5y+8)=2(2y+1)+5

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Solution for 7+4(5y+8)=2(2y+1)+5 equation: 


Simplifying
7 + 4(5y + 8) = 2(2y + 1) + 5

Reorder the terms:
7 + 4(8 + 5y) = 2(2y + 1) + 5
7 + (8 * 4 + 5y * 4) = 2(2y + 1) + 5
7 + (32 + 20y) = 2(2y + 1) + 5

Combine like terms: 7 + 32 = 39
39 + 20y = 2(2y + 1) + 5

Reorder the terms:
39 + 20y = 2(1 + 2y) + 5
39 + 20y = (1 * 2 + 2y * 2) + 5
39 + 20y = (2 + 4y) + 5

Reorder the terms:
39 + 20y = 2 + 5 + 4y

Combine like terms: 2 + 5 = 7
39 + 20y = 7 + 4y

Solving
39 + 20y = 7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
39 + 20y + -4y = 7 + 4y + -4y

Combine like terms: 20y + -4y = 16y
39 + 16y = 7 + 4y + -4y

Combine like terms: 4y + -4y = 0
39 + 16y = 7 + 0
39 + 16y = 7

Add '-39' to each side of the equation.
39 + -39 + 16y = 7 + -39

Combine like terms: 39 + -39 = 0
0 + 16y = 7 + -39
16y = 7 + -39

Combine like terms: 7 + -39 = -32
16y = -32

Divide each side by '16'.
y = -2

Simplifying
y = -2

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