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

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


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

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

Combine like terms: 4y + -7y = -3y
-10 + -3y = 3(y + -5) + -4

Reorder the terms:
-10 + -3y = 3(-5 + y) + -4
-10 + -3y = (-5 * 3 + y * 3) + -4
-10 + -3y = (-15 + 3y) + -4

Reorder the terms:
-10 + -3y = -15 + -4 + 3y

Combine like terms: -15 + -4 = -19
-10 + -3y = -19 + 3y

Solving
-10 + -3y = -19 + 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 + -3y + -3y = -19 + 3y + -3y

Combine like terms: -3y + -3y = -6y
-10 + -6y = -19 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + -6y = -19 + 0
-10 + -6y = -19

Add '10' to each side of the equation.
-10 + 10 + -6y = -19 + 10

Combine like terms: -10 + 10 = 0
0 + -6y = -19 + 10
-6y = -19 + 10

Combine like terms: -19 + 10 = -9
-6y = -9

Divide each side by '-6'.
y = 1.5

Simplifying
y = 1.5

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