2(3y-7)+3(y-4)=13

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Solution for 2(3y-7)+3(y-4)=13 equation:


Simplifying
2(3y + -7) + 3(y + -4) = 13

Reorder the terms:
2(-7 + 3y) + 3(y + -4) = 13
(-7 * 2 + 3y * 2) + 3(y + -4) = 13
(-14 + 6y) + 3(y + -4) = 13

Reorder the terms:
-14 + 6y + 3(-4 + y) = 13
-14 + 6y + (-4 * 3 + y * 3) = 13
-14 + 6y + (-12 + 3y) = 13

Reorder the terms:
-14 + -12 + 6y + 3y = 13

Combine like terms: -14 + -12 = -26
-26 + 6y + 3y = 13

Combine like terms: 6y + 3y = 9y
-26 + 9y = 13

Solving
-26 + 9y = 13

Solving for variable 'y'.

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

Add '26' to each side of the equation.
-26 + 26 + 9y = 13 + 26

Combine like terms: -26 + 26 = 0
0 + 9y = 13 + 26
9y = 13 + 26

Combine like terms: 13 + 26 = 39
9y = 39

Divide each side by '9'.
y = 4.333333333

Simplifying
y = 4.333333333

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