2(3y-5)=4(4y-7)

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Solution for 2(3y-5)=4(4y-7) equation:


Simplifying
2(3y + -5) = 4(4y + -7)

Reorder the terms:
2(-5 + 3y) = 4(4y + -7)
(-5 * 2 + 3y * 2) = 4(4y + -7)
(-10 + 6y) = 4(4y + -7)

Reorder the terms:
-10 + 6y = 4(-7 + 4y)
-10 + 6y = (-7 * 4 + 4y * 4)
-10 + 6y = (-28 + 16y)

Solving
-10 + 6y = -28 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-10 + 6y + -16y = -28 + 16y + -16y

Combine like terms: 6y + -16y = -10y
-10 + -10y = -28 + 16y + -16y

Combine like terms: 16y + -16y = 0
-10 + -10y = -28 + 0
-10 + -10y = -28

Add '10' to each side of the equation.
-10 + 10 + -10y = -28 + 10

Combine like terms: -10 + 10 = 0
0 + -10y = -28 + 10
-10y = -28 + 10

Combine like terms: -28 + 10 = -18
-10y = -18

Divide each side by '-10'.
y = 1.8

Simplifying
y = 1.8

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