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

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


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

Reorder the terms:
5(-2 + y) = 4(y + 3)
(-2 * 5 + y * 5) = 4(y + 3)
(-10 + 5y) = 4(y + 3)

Reorder the terms:
-10 + 5y = 4(3 + y)
-10 + 5y = (3 * 4 + y * 4)
-10 + 5y = (12 + 4y)

Solving
-10 + 5y = 12 + 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.
-10 + 5y + -4y = 12 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-10 + 1y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + 1y = 12 + 0
-10 + 1y = 12

Add '10' to each side of the equation.
-10 + 10 + 1y = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = 12 + 10
1y = 12 + 10

Combine like terms: 12 + 10 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22

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