4y-10=7(y+2)

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


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

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

Reorder the terms:
-10 + 4y = 7(2 + y)
-10 + 4y = (2 * 7 + y * 7)
-10 + 4y = (14 + 7y)

Solving
-10 + 4y = 14 + 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.
-10 + 4y + -7y = 14 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-10 + -3y = 14 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -3y = 14 + 0
-10 + -3y = 14

Add '10' to each side of the equation.
-10 + 10 + -3y = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 14 + 10
-3y = 14 + 10

Combine like terms: 14 + 10 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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