4+y+6(y+5)=98-y

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Solution for 4+y+6(y+5)=98-y equation:


Simplifying
4 + y + 6(y + 5) = 98 + -1y

Reorder the terms:
4 + y + 6(5 + y) = 98 + -1y
4 + y + (5 * 6 + y * 6) = 98 + -1y
4 + y + (30 + 6y) = 98 + -1y

Reorder the terms:
4 + 30 + y + 6y = 98 + -1y

Combine like terms: 4 + 30 = 34
34 + y + 6y = 98 + -1y

Combine like terms: y + 6y = 7y
34 + 7y = 98 + -1y

Solving
34 + 7y = 98 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
34 + 7y + y = 98 + -1y + y

Combine like terms: 7y + y = 8y
34 + 8y = 98 + -1y + y

Combine like terms: -1y + y = 0
34 + 8y = 98 + 0
34 + 8y = 98

Add '-34' to each side of the equation.
34 + -34 + 8y = 98 + -34

Combine like terms: 34 + -34 = 0
0 + 8y = 98 + -34
8y = 98 + -34

Combine like terms: 98 + -34 = 64
8y = 64

Divide each side by '8'.
y = 8

Simplifying
y = 8

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