10y+7-4y=3-3(b+4)

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Solution for 10y+7-4y=3-3(b+4) equation:


Simplifying
10y + 7 + -4y = 3 + -3(b + 4)

Reorder the terms:
7 + 10y + -4y = 3 + -3(b + 4)

Combine like terms: 10y + -4y = 6y
7 + 6y = 3 + -3(b + 4)

Reorder the terms:
7 + 6y = 3 + -3(4 + b)
7 + 6y = 3 + (4 * -3 + b * -3)
7 + 6y = 3 + (-12 + -3b)

Combine like terms: 3 + -12 = -9
7 + 6y = -9 + -3b

Solving
7 + 6y = -9 + -3b

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + 6y = -9 + -7 + -3b

Combine like terms: 7 + -7 = 0
0 + 6y = -9 + -7 + -3b
6y = -9 + -7 + -3b

Combine like terms: -9 + -7 = -16
6y = -16 + -3b

Divide each side by '6'.
y = -2.666666667 + -0.5b

Simplifying
y = -2.666666667 + -0.5b

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