4(y-2)=7(y+1)

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Solution for 4(y-2)=7(y+1) equation:


Simplifying
4(y + -2) = 7(y + 1)

Reorder the terms:
4(-2 + y) = 7(y + 1)
(-2 * 4 + y * 4) = 7(y + 1)
(-8 + 4y) = 7(y + 1)

Reorder the terms:
-8 + 4y = 7(1 + y)
-8 + 4y = (1 * 7 + y * 7)
-8 + 4y = (7 + 7y)

Solving
-8 + 4y = 7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-8 + 4y + -7y = 7 + 7y + -7y

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

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

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

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

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

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

Simplifying
y = -5

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