4(y+8)-7y=35

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Solution for 4(y+8)-7y=35 equation:


Simplifying
4(y + 8) + -7y = 35

Reorder the terms:
4(8 + y) + -7y = 35
(8 * 4 + y * 4) + -7y = 35
(32 + 4y) + -7y = 35

Combine like terms: 4y + -7y = -3y
32 + -3y = 35

Solving
32 + -3y = 35

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 + -3y = 35 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = 35 + -32
-3y = 35 + -32

Combine like terms: 35 + -32 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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