4(2y-1)=3(5y-2)-5

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Solution for 4(2y-1)=3(5y-2)-5 equation: 


Simplifying
4(2y + -1) = 3(5y + -2) + -5

Reorder the terms:
4(-1 + 2y) = 3(5y + -2) + -5
(-1 * 4 + 2y * 4) = 3(5y + -2) + -5
(-4 + 8y) = 3(5y + -2) + -5

Reorder the terms:
-4 + 8y = 3(-2 + 5y) + -5
-4 + 8y = (-2 * 3 + 5y * 3) + -5
-4 + 8y = (-6 + 15y) + -5

Reorder the terms:
-4 + 8y = -6 + -5 + 15y

Combine like terms: -6 + -5 = -11
-4 + 8y = -11 + 15y

Solving
-4 + 8y = -11 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-4 + 8y + -15y = -11 + 15y + -15y

Combine like terms: 8y + -15y = -7y
-4 + -7y = -11 + 15y + -15y

Combine like terms: 15y + -15y = 0
-4 + -7y = -11 + 0
-4 + -7y = -11

Add '4' to each side of the equation.
-4 + 4 + -7y = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -7y = -11 + 4
-7y = -11 + 4

Combine like terms: -11 + 4 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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