10(-4+y)+8=2(6x-5)+3

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Solution for 10(-4+y)+8=2(6x-5)+3 equation:


Simplifying
10(-4 + y) + 8 = 2(6x + -5) + 3
(-4 * 10 + y * 10) + 8 = 2(6x + -5) + 3
(-40 + 10y) + 8 = 2(6x + -5) + 3

Reorder the terms:
-40 + 8 + 10y = 2(6x + -5) + 3

Combine like terms: -40 + 8 = -32
-32 + 10y = 2(6x + -5) + 3

Reorder the terms:
-32 + 10y = 2(-5 + 6x) + 3
-32 + 10y = (-5 * 2 + 6x * 2) + 3
-32 + 10y = (-10 + 12x) + 3

Reorder the terms:
-32 + 10y = -10 + 3 + 12x

Combine like terms: -10 + 3 = -7
-32 + 10y = -7 + 12x

Solving
-32 + 10y = -7 + 12x

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 + 10y = -7 + 32 + 12x

Combine like terms: -32 + 32 = 0
0 + 10y = -7 + 32 + 12x
10y = -7 + 32 + 12x

Combine like terms: -7 + 32 = 25
10y = 25 + 12x

Divide each side by '10'.
y = 2.5 + 1.2x

Simplifying
y = 2.5 + 1.2x

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