1-4(6y-3)=8(2y-5)+6

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Solution for 1-4(6y-3)=8(2y-5)+6 equation: 


Simplifying
1 + -4(6y + -3) = 8(2y + -5) + 6

Reorder the terms:
1 + -4(-3 + 6y) = 8(2y + -5) + 6
1 + (-3 * -4 + 6y * -4) = 8(2y + -5) + 6
1 + (12 + -24y) = 8(2y + -5) + 6

Combine like terms: 1 + 12 = 13
13 + -24y = 8(2y + -5) + 6

Reorder the terms:
13 + -24y = 8(-5 + 2y) + 6
13 + -24y = (-5 * 8 + 2y * 8) + 6
13 + -24y = (-40 + 16y) + 6

Reorder the terms:
13 + -24y = -40 + 6 + 16y

Combine like terms: -40 + 6 = -34
13 + -24y = -34 + 16y

Solving
13 + -24y = -34 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
13 + -24y + -16y = -34 + 16y + -16y

Combine like terms: -24y + -16y = -40y
13 + -40y = -34 + 16y + -16y

Combine like terms: 16y + -16y = 0
13 + -40y = -34 + 0
13 + -40y = -34

Add '-13' to each side of the equation.
13 + -13 + -40y = -34 + -13

Combine like terms: 13 + -13 = 0
0 + -40y = -34 + -13
-40y = -34 + -13

Combine like terms: -34 + -13 = -47
-40y = -47

Divide each side by '-40'.
y = 1.175

Simplifying
y = 1.175

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