10=8(7y-6)-27y+30

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Solution for 10=8(7y-6)-27y+30 equation:


Simplifying
10 = 8(7y + -6) + -27y + 30

Reorder the terms:
10 = 8(-6 + 7y) + -27y + 30
10 = (-6 * 8 + 7y * 8) + -27y + 30
10 = (-48 + 56y) + -27y + 30

Reorder the terms:
10 = -48 + 30 + 56y + -27y

Combine like terms: -48 + 30 = -18
10 = -18 + 56y + -27y

Combine like terms: 56y + -27y = 29y
10 = -18 + 29y

Solving
10 = -18 + 29y

Solving for variable 'y'.

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

Add '-29y' to each side of the equation.
10 + -29y = -18 + 29y + -29y

Combine like terms: 29y + -29y = 0
10 + -29y = -18 + 0
10 + -29y = -18

Add '-10' to each side of the equation.
10 + -10 + -29y = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -29y = -18 + -10
-29y = -18 + -10

Combine like terms: -18 + -10 = -28
-29y = -28

Divide each side by '-29'.
y = 0.9655172414

Simplifying
y = 0.9655172414

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