y-7=4(y+2)

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


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

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

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

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

Combine like terms: y + -4y = -3y
-7 + -3y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-7 + -3y = 8 + 0
-7 + -3y = 8

Add '7' to each side of the equation.
-7 + 7 + -3y = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -3y = 8 + 7
-3y = 8 + 7

Combine like terms: 8 + 7 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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