4(y-2)=6(y+1)

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Solution for 4(y-2)=6(y+1) equation:


Simplifying
4(y + -2) = 6(y + 1)

Reorder the terms:
4(-2 + y) = 6(y + 1)
(-2 * 4 + y * 4) = 6(y + 1)
(-8 + 4y) = 6(y + 1)

Reorder the terms:
-8 + 4y = 6(1 + y)
-8 + 4y = (1 * 6 + y * 6)
-8 + 4y = (6 + 6y)

Solving
-8 + 4y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-8 + 4y + -6y = 6 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-8 + -2y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
-8 + -2y = 6 + 0
-8 + -2y = 6

Add '8' to each side of the equation.
-8 + 8 + -2y = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -2y = 6 + 8
-2y = 6 + 8

Combine like terms: 6 + 8 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7

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