7y-25=-4(y-2)

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Solution for 7y-25=-4(y-2) equation:


Simplifying
7y + -25 = -4(y + -2)

Reorder the terms:
-25 + 7y = -4(y + -2)

Reorder the terms:
-25 + 7y = -4(-2 + y)
-25 + 7y = (-2 * -4 + y * -4)
-25 + 7y = (8 + -4y)

Solving
-25 + 7y = 8 + -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.
-25 + 7y + 4y = 8 + -4y + 4y

Combine like terms: 7y + 4y = 11y
-25 + 11y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
-25 + 11y = 8 + 0
-25 + 11y = 8

Add '25' to each side of the equation.
-25 + 25 + 11y = 8 + 25

Combine like terms: -25 + 25 = 0
0 + 11y = 8 + 25
11y = 8 + 25

Combine like terms: 8 + 25 = 33
11y = 33

Divide each side by '11'.
y = 3

Simplifying
y = 3

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