-3(y-6)+25=8(7-4y)

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Solution for -3(y-6)+25=8(7-4y) equation:


Simplifying
-3(y + -6) + 25 = 8(7 + -4y)

Reorder the terms:
-3(-6 + y) + 25 = 8(7 + -4y)
(-6 * -3 + y * -3) + 25 = 8(7 + -4y)
(18 + -3y) + 25 = 8(7 + -4y)

Reorder the terms:
18 + 25 + -3y = 8(7 + -4y)

Combine like terms: 18 + 25 = 43
43 + -3y = 8(7 + -4y)
43 + -3y = (7 * 8 + -4y * 8)
43 + -3y = (56 + -32y)

Solving
43 + -3y = 56 + -32y

Solving for variable 'y'.

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

Add '32y' to each side of the equation.
43 + -3y + 32y = 56 + -32y + 32y

Combine like terms: -3y + 32y = 29y
43 + 29y = 56 + -32y + 32y

Combine like terms: -32y + 32y = 0
43 + 29y = 56 + 0
43 + 29y = 56

Add '-43' to each side of the equation.
43 + -43 + 29y = 56 + -43

Combine like terms: 43 + -43 = 0
0 + 29y = 56 + -43
29y = 56 + -43

Combine like terms: 56 + -43 = 13
29y = 13

Divide each side by '29'.
y = 0.4482758621

Simplifying
y = 0.4482758621

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