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

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


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

Reorder the terms:
2(-5 + 4y) = -3y + 1
(-5 * 2 + 4y * 2) = -3y + 1
(-10 + 8y) = -3y + 1

Reorder the terms:
-10 + 8y = 1 + -3y

Solving
-10 + 8y = 1 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-10 + 8y + 3y = 1 + -3y + 3y

Combine like terms: 8y + 3y = 11y
-10 + 11y = 1 + -3y + 3y

Combine like terms: -3y + 3y = 0
-10 + 11y = 1 + 0
-10 + 11y = 1

Add '10' to each side of the equation.
-10 + 10 + 11y = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 11y = 1 + 10
11y = 1 + 10

Combine like terms: 1 + 10 = 11
11y = 11

Divide each side by '11'.
y = 1

Simplifying
y = 1

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