-3(-5y+6)-4y=3(y-1)-1

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Solution for -3(-5y+6)-4y=3(y-1)-1 equation: 


Simplifying
-3(-5y + 6) + -4y = 3(y + -1) + -1

Reorder the terms:
-3(6 + -5y) + -4y = 3(y + -1) + -1
(6 * -3 + -5y * -3) + -4y = 3(y + -1) + -1
(-18 + 15y) + -4y = 3(y + -1) + -1

Combine like terms: 15y + -4y = 11y
-18 + 11y = 3(y + -1) + -1

Reorder the terms:
-18 + 11y = 3(-1 + y) + -1
-18 + 11y = (-1 * 3 + y * 3) + -1
-18 + 11y = (-3 + 3y) + -1

Reorder the terms:
-18 + 11y = -3 + -1 + 3y

Combine like terms: -3 + -1 = -4
-18 + 11y = -4 + 3y

Solving
-18 + 11y = -4 + 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.
-18 + 11y + -3y = -4 + 3y + -3y

Combine like terms: 11y + -3y = 8y
-18 + 8y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
-18 + 8y = -4 + 0
-18 + 8y = -4

Add '18' to each side of the equation.
-18 + 18 + 8y = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 8y = -4 + 18
8y = -4 + 18

Combine like terms: -4 + 18 = 14
8y = 14

Divide each side by '8'.
y = 1.75

Simplifying
y = 1.75

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