10-3y=(y+10)-7

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Solution for 10-3y=(y+10)-7 equation:


Simplifying
10 + -3y = (y + 10) + -7

Reorder the terms:
10 + -3y = (10 + y) + -7

Remove parenthesis around (10 + y)
10 + -3y = 10 + y + -7

Reorder the terms:
10 + -3y = 10 + -7 + y

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

Solving
10 + -3y = 3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
10 + -3y + -1y = 3 + y + -1y

Combine like terms: -3y + -1y = -4y
10 + -4y = 3 + y + -1y

Combine like terms: y + -1y = 0
10 + -4y = 3 + 0
10 + -4y = 3

Add '-10' to each side of the equation.
10 + -10 + -4y = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -4y = 3 + -10
-4y = 3 + -10

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

Divide each side by '-4'.
y = 1.75

Simplifying
y = 1.75

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