8(y+4)-2(y-1)=70-3

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Solution for 8(y+4)-2(y-1)=70-3 equation:


Simplifying
8(y + 4) + -2(y + -1) = 70 + -3

Reorder the terms:
8(4 + y) + -2(y + -1) = 70 + -3
(4 * 8 + y * 8) + -2(y + -1) = 70 + -3
(32 + 8y) + -2(y + -1) = 70 + -3

Reorder the terms:
32 + 8y + -2(-1 + y) = 70 + -3
32 + 8y + (-1 * -2 + y * -2) = 70 + -3
32 + 8y + (2 + -2y) = 70 + -3

Reorder the terms:
32 + 2 + 8y + -2y = 70 + -3

Combine like terms: 32 + 2 = 34
34 + 8y + -2y = 70 + -3

Combine like terms: 8y + -2y = 6y
34 + 6y = 70 + -3

Combine like terms: 70 + -3 = 67
34 + 6y = 67

Solving
34 + 6y = 67

Solving for variable 'y'.

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

Add '-34' to each side of the equation.
34 + -34 + 6y = 67 + -34

Combine like terms: 34 + -34 = 0
0 + 6y = 67 + -34
6y = 67 + -34

Combine like terms: 67 + -34 = 33
6y = 33

Divide each side by '6'.
y = 5.5

Simplifying
y = 5.5

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