5(y+2)=4y+5

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


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

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

Reorder the terms:
10 + 5y = 5 + 4y

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

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

Combine like terms: 4y + -4y = 0
10 + 1y = 5 + 0
10 + 1y = 5

Add '-10' to each side of the equation.
10 + -10 + 1y = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 5 + -10
1y = 5 + -10

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

Divide each side by '1'.
y = -5

Simplifying
y = -5

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