-6y+32=4(y-7)

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Solution for -6y+32=4(y-7) equation:


Simplifying
-6y + 32 = 4(y + -7)

Reorder the terms:
32 + -6y = 4(y + -7)

Reorder the terms:
32 + -6y = 4(-7 + y)
32 + -6y = (-7 * 4 + y * 4)
32 + -6y = (-28 + 4y)

Solving
32 + -6y = -28 + 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.
32 + -6y + -4y = -28 + 4y + -4y

Combine like terms: -6y + -4y = -10y
32 + -10y = -28 + 4y + -4y

Combine like terms: 4y + -4y = 0
32 + -10y = -28 + 0
32 + -10y = -28

Add '-32' to each side of the equation.
32 + -32 + -10y = -28 + -32

Combine like terms: 32 + -32 = 0
0 + -10y = -28 + -32
-10y = -28 + -32

Combine like terms: -28 + -32 = -60
-10y = -60

Divide each side by '-10'.
y = 6

Simplifying
y = 6

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