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

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


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

Reorder the terms:
7(-3 + 3y) = 4(5y + -4)
(-3 * 7 + 3y * 7) = 4(5y + -4)
(-21 + 21y) = 4(5y + -4)

Reorder the terms:
-21 + 21y = 4(-4 + 5y)
-21 + 21y = (-4 * 4 + 5y * 4)
-21 + 21y = (-16 + 20y)

Solving
-21 + 21y = -16 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-21 + 21y + -20y = -16 + 20y + -20y

Combine like terms: 21y + -20y = 1y
-21 + 1y = -16 + 20y + -20y

Combine like terms: 20y + -20y = 0
-21 + 1y = -16 + 0
-21 + 1y = -16

Add '21' to each side of the equation.
-21 + 21 + 1y = -16 + 21

Combine like terms: -21 + 21 = 0
0 + 1y = -16 + 21
1y = -16 + 21

Combine like terms: -16 + 21 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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