2(2y-5)=3(4y-3)-21

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Solution for 2(2y-5)=3(4y-3)-21 equation: 


Simplifying
2(2y + -5) = 3(4y + -3) + -21

Reorder the terms:
2(-5 + 2y) = 3(4y + -3) + -21
(-5 * 2 + 2y * 2) = 3(4y + -3) + -21
(-10 + 4y) = 3(4y + -3) + -21

Reorder the terms:
-10 + 4y = 3(-3 + 4y) + -21
-10 + 4y = (-3 * 3 + 4y * 3) + -21
-10 + 4y = (-9 + 12y) + -21

Reorder the terms:
-10 + 4y = -9 + -21 + 12y

Combine like terms: -9 + -21 = -30
-10 + 4y = -30 + 12y

Solving
-10 + 4y = -30 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-10 + 4y + -12y = -30 + 12y + -12y

Combine like terms: 4y + -12y = -8y
-10 + -8y = -30 + 12y + -12y

Combine like terms: 12y + -12y = 0
-10 + -8y = -30 + 0
-10 + -8y = -30

Add '10' to each side of the equation.
-10 + 10 + -8y = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -8y = -30 + 10
-8y = -30 + 10

Combine like terms: -30 + 10 = -20
-8y = -20

Divide each side by '-8'.
y = 2.5

Simplifying
y = 2.5

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