4(5y+3)+20=6(3y+2)+5

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Solution for 4(5y+3)+20=6(3y+2)+5 equation:


Simplifying
4(5y + 3) + 20 = 6(3y + 2) + 5

Reorder the terms:
4(3 + 5y) + 20 = 6(3y + 2) + 5
(3 * 4 + 5y * 4) + 20 = 6(3y + 2) + 5
(12 + 20y) + 20 = 6(3y + 2) + 5

Reorder the terms:
12 + 20 + 20y = 6(3y + 2) + 5

Combine like terms: 12 + 20 = 32
32 + 20y = 6(3y + 2) + 5

Reorder the terms:
32 + 20y = 6(2 + 3y) + 5
32 + 20y = (2 * 6 + 3y * 6) + 5
32 + 20y = (12 + 18y) + 5

Reorder the terms:
32 + 20y = 12 + 5 + 18y

Combine like terms: 12 + 5 = 17
32 + 20y = 17 + 18y

Solving
32 + 20y = 17 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
32 + 20y + -18y = 17 + 18y + -18y

Combine like terms: 20y + -18y = 2y
32 + 2y = 17 + 18y + -18y

Combine like terms: 18y + -18y = 0
32 + 2y = 17 + 0
32 + 2y = 17

Add '-32' to each side of the equation.
32 + -32 + 2y = 17 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = 17 + -32
2y = 17 + -32

Combine like terms: 17 + -32 = -15
2y = -15

Divide each side by '2'.
y = -7.5

Simplifying
y = -7.5

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