10y-5-3y=4(y+1)-5

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Solution for 10y-5-3y=4(y+1)-5 equation:


Simplifying
10y + -5 + -3y = 4(y + 1) + -5

Reorder the terms:
-5 + 10y + -3y = 4(y + 1) + -5

Combine like terms: 10y + -3y = 7y
-5 + 7y = 4(y + 1) + -5

Reorder the terms:
-5 + 7y = 4(1 + y) + -5
-5 + 7y = (1 * 4 + y * 4) + -5
-5 + 7y = (4 + 4y) + -5

Reorder the terms:
-5 + 7y = 4 + -5 + 4y

Combine like terms: 4 + -5 = -1
-5 + 7y = -1 + 4y

Solving
-5 + 7y = -1 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-5 + 7y + -4y = -1 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-5 + 3y = -1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + 3y = -1 + 0
-5 + 3y = -1

Add '5' to each side of the equation.
-5 + 5 + 3y = -1 + 5

Combine like terms: -5 + 5 = 0
0 + 3y = -1 + 5
3y = -1 + 5

Combine like terms: -1 + 5 = 4
3y = 4

Divide each side by '3'.
y = 1.333333333

Simplifying
y = 1.333333333

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