4(y-3)=5y-7

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


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

Reorder the terms:
4(-3 + y) = 5y + -7
(-3 * 4 + y * 4) = 5y + -7
(-12 + 4y) = 5y + -7

Reorder the terms:
-12 + 4y = -7 + 5y

Solving
-12 + 4y = -7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-12 + 4y + -5y = -7 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-12 + -1y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + -1y = -7 + 0
-12 + -1y = -7

Add '12' to each side of the equation.
-12 + 12 + -1y = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -1y = -7 + 12
-1y = -7 + 12

Combine like terms: -7 + 12 = 5
-1y = 5

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

Simplifying
y = -5

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