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

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


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

Reorder the terms:
7(-1 + 2y) + 3y = -3(y + 2) + 3
(-1 * 7 + 2y * 7) + 3y = -3(y + 2) + 3
(-7 + 14y) + 3y = -3(y + 2) + 3

Combine like terms: 14y + 3y = 17y
-7 + 17y = -3(y + 2) + 3

Reorder the terms:
-7 + 17y = -3(2 + y) + 3
-7 + 17y = (2 * -3 + y * -3) + 3
-7 + 17y = (-6 + -3y) + 3

Reorder the terms:
-7 + 17y = -6 + 3 + -3y

Combine like terms: -6 + 3 = -3
-7 + 17y = -3 + -3y

Solving
-7 + 17y = -3 + -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.
-7 + 17y + 3y = -3 + -3y + 3y

Combine like terms: 17y + 3y = 20y
-7 + 20y = -3 + -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + 20y = -3 + 0
-7 + 20y = -3

Add '7' to each side of the equation.
-7 + 7 + 20y = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 20y = -3 + 7
20y = -3 + 7

Combine like terms: -3 + 7 = 4
20y = 4

Divide each side by '20'.
y = 0.2

Simplifying
y = 0.2

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