7-5(2y-1)=3y+2

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Solution for 7-5(2y-1)=3y+2 equation:


Simplifying
7 + -5(2y + -1) = 3y + 2

Reorder the terms:
7 + -5(-1 + 2y) = 3y + 2
7 + (-1 * -5 + 2y * -5) = 3y + 2
7 + (5 + -10y) = 3y + 2

Combine like terms: 7 + 5 = 12
12 + -10y = 3y + 2

Reorder the terms:
12 + -10y = 2 + 3y

Solving
12 + -10y = 2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + -10y + -3y = 2 + 3y + -3y

Combine like terms: -10y + -3y = -13y
12 + -13y = 2 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + -13y = 2 + 0
12 + -13y = 2

Add '-12' to each side of the equation.
12 + -12 + -13y = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -13y = 2 + -12
-13y = 2 + -12

Combine like terms: 2 + -12 = -10
-13y = -10

Divide each side by '-13'.
y = 0.7692307692

Simplifying
y = 0.7692307692

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