8(6y+9)+4(4y-10)=6

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Solution for 8(6y+9)+4(4y-10)=6 equation: 


Simplifying
8(6y + 9) + 4(4y + -10) = 6

Reorder the terms:
8(9 + 6y) + 4(4y + -10) = 6
(9 * 8 + 6y * 8) + 4(4y + -10) = 6
(72 + 48y) + 4(4y + -10) = 6

Reorder the terms:
72 + 48y + 4(-10 + 4y) = 6
72 + 48y + (-10 * 4 + 4y * 4) = 6
72 + 48y + (-40 + 16y) = 6

Reorder the terms:
72 + -40 + 48y + 16y = 6

Combine like terms: 72 + -40 = 32
32 + 48y + 16y = 6

Combine like terms: 48y + 16y = 64y
32 + 64y = 6

Solving
32 + 64y = 6

Solving for variable 'y'.

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

Add '-32' to each side of the equation.
32 + -32 + 64y = 6 + -32

Combine like terms: 32 + -32 = 0
0 + 64y = 6 + -32
64y = 6 + -32

Combine like terms: 6 + -32 = -26
64y = -26

Divide each side by '64'.
y = -0.40625

Simplifying
y = -0.40625

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