-3y+9(8y+3)=1+4(-7-y)

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Solution for -3y+9(8y+3)=1+4(-7-y) equation:


Simplifying
-3y + 9(8y + 3) = 1 + 4(-7 + -1y)

Reorder the terms:
-3y + 9(3 + 8y) = 1 + 4(-7 + -1y)
-3y + (3 * 9 + 8y * 9) = 1 + 4(-7 + -1y)
-3y + (27 + 72y) = 1 + 4(-7 + -1y)

Reorder the terms:
27 + -3y + 72y = 1 + 4(-7 + -1y)

Combine like terms: -3y + 72y = 69y
27 + 69y = 1 + 4(-7 + -1y)
27 + 69y = 1 + (-7 * 4 + -1y * 4)
27 + 69y = 1 + (-28 + -4y)

Combine like terms: 1 + -28 = -27
27 + 69y = -27 + -4y

Solving
27 + 69y = -27 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
27 + 69y + 4y = -27 + -4y + 4y

Combine like terms: 69y + 4y = 73y
27 + 73y = -27 + -4y + 4y

Combine like terms: -4y + 4y = 0
27 + 73y = -27 + 0
27 + 73y = -27

Add '-27' to each side of the equation.
27 + -27 + 73y = -27 + -27

Combine like terms: 27 + -27 = 0
0 + 73y = -27 + -27
73y = -27 + -27

Combine like terms: -27 + -27 = -54
73y = -54

Divide each side by '73'.
y = -0.7397260274

Simplifying
y = -0.7397260274

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