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

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


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

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

Combine like terms: -4y + y = -3y
10 + -3y = 7 + 3(4y + -2)

Reorder the terms:
10 + -3y = 7 + 3(-2 + 4y)
10 + -3y = 7 + (-2 * 3 + 4y * 3)
10 + -3y = 7 + (-6 + 12y)

Combine like terms: 7 + -6 = 1
10 + -3y = 1 + 12y

Solving
10 + -3y = 1 + 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 + -3y + -12y = 1 + 12y + -12y

Combine like terms: -3y + -12y = -15y
10 + -15y = 1 + 12y + -12y

Combine like terms: 12y + -12y = 0
10 + -15y = 1 + 0
10 + -15y = 1

Add '-10' to each side of the equation.
10 + -10 + -15y = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -15y = 1 + -10
-15y = 1 + -10

Combine like terms: 1 + -10 = -9
-15y = -9

Divide each side by '-15'.
y = 0.6

Simplifying
y = 0.6

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