4(y-2)=7y+10

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Solution for 4(y-2)=7y+10 equation:


Simplifying
4(y + -2) = 7y + 10

Reorder the terms:
4(-2 + y) = 7y + 10
(-2 * 4 + y * 4) = 7y + 10
(-8 + 4y) = 7y + 10

Reorder the terms:
-8 + 4y = 10 + 7y

Solving
-8 + 4y = 10 + 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 = 10 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-8 + -3y = 10 + 7y + -7y

Combine like terms: 7y + -7y = 0
-8 + -3y = 10 + 0
-8 + -3y = 10

Add '8' to each side of the equation.
-8 + 8 + -3y = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = 10 + 8
-3y = 10 + 8

Combine like terms: 10 + 8 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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