3(2y-5)=4y-7

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Solution for 3(2y-5)=4y-7 equation: 


Simplifying
3(2y + -5) = 4y + -7

Reorder the terms:
3(-5 + 2y) = 4y + -7
(-5 * 3 + 2y * 3) = 4y + -7
(-15 + 6y) = 4y + -7

Reorder the terms:
-15 + 6y = -7 + 4y

Solving
-15 + 6y = -7 + 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.
-15 + 6y + -4y = -7 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-15 + 2y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 2y = -7 + 0
-15 + 2y = -7

Add '15' to each side of the equation.
-15 + 15 + 2y = -7 + 15

Combine like terms: -15 + 15 = 0
0 + 2y = -7 + 15
2y = -7 + 15

Combine like terms: -7 + 15 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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