4(2y-3)-(3y+7)=6

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Solution for 4(2y-3)-(3y+7)=6 equation:


Simplifying
4(2y + -3) + -1(3y + 7) = 6

Reorder the terms:
4(-3 + 2y) + -1(3y + 7) = 6
(-3 * 4 + 2y * 4) + -1(3y + 7) = 6
(-12 + 8y) + -1(3y + 7) = 6

Reorder the terms:
-12 + 8y + -1(7 + 3y) = 6
-12 + 8y + (7 * -1 + 3y * -1) = 6
-12 + 8y + (-7 + -3y) = 6

Reorder the terms:
-12 + -7 + 8y + -3y = 6

Combine like terms: -12 + -7 = -19
-19 + 8y + -3y = 6

Combine like terms: 8y + -3y = 5y
-19 + 5y = 6

Solving
-19 + 5y = 6

Solving for variable 'y'.

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

Add '19' to each side of the equation.
-19 + 19 + 5y = 6 + 19

Combine like terms: -19 + 19 = 0
0 + 5y = 6 + 19
5y = 6 + 19

Combine like terms: 6 + 19 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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