4+7(-6y+3)=5(y+9)-6

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Solution for 4+7(-6y+3)=5(y+9)-6 equation:


Simplifying
4 + 7(-6y + 3) = 5(y + 9) + -6

Reorder the terms:
4 + 7(3 + -6y) = 5(y + 9) + -6
4 + (3 * 7 + -6y * 7) = 5(y + 9) + -6
4 + (21 + -42y) = 5(y + 9) + -6

Combine like terms: 4 + 21 = 25
25 + -42y = 5(y + 9) + -6

Reorder the terms:
25 + -42y = 5(9 + y) + -6
25 + -42y = (9 * 5 + y * 5) + -6
25 + -42y = (45 + 5y) + -6

Reorder the terms:
25 + -42y = 45 + -6 + 5y

Combine like terms: 45 + -6 = 39
25 + -42y = 39 + 5y

Solving
25 + -42y = 39 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
25 + -42y + -5y = 39 + 5y + -5y

Combine like terms: -42y + -5y = -47y
25 + -47y = 39 + 5y + -5y

Combine like terms: 5y + -5y = 0
25 + -47y = 39 + 0
25 + -47y = 39

Add '-25' to each side of the equation.
25 + -25 + -47y = 39 + -25

Combine like terms: 25 + -25 = 0
0 + -47y = 39 + -25
-47y = 39 + -25

Combine like terms: 39 + -25 = 14
-47y = 14

Divide each side by '-47'.
y = -0.2978723404

Simplifying
y = -0.2978723404

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