4(5y-3)+9=6(3y+1)-17

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Solution for 4(5y-3)+9=6(3y+1)-17 equation:


Simplifying
4(5y + -3) + 9 = 6(3y + 1) + -17

Reorder the terms:
4(-3 + 5y) + 9 = 6(3y + 1) + -17
(-3 * 4 + 5y * 4) + 9 = 6(3y + 1) + -17
(-12 + 20y) + 9 = 6(3y + 1) + -17

Reorder the terms:
-12 + 9 + 20y = 6(3y + 1) + -17

Combine like terms: -12 + 9 = -3
-3 + 20y = 6(3y + 1) + -17

Reorder the terms:
-3 + 20y = 6(1 + 3y) + -17
-3 + 20y = (1 * 6 + 3y * 6) + -17
-3 + 20y = (6 + 18y) + -17

Reorder the terms:
-3 + 20y = 6 + -17 + 18y

Combine like terms: 6 + -17 = -11
-3 + 20y = -11 + 18y

Solving
-3 + 20y = -11 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-3 + 20y + -18y = -11 + 18y + -18y

Combine like terms: 20y + -18y = 2y
-3 + 2y = -11 + 18y + -18y

Combine like terms: 18y + -18y = 0
-3 + 2y = -11 + 0
-3 + 2y = -11

Add '3' to each side of the equation.
-3 + 3 + 2y = -11 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = -11 + 3
2y = -11 + 3

Combine like terms: -11 + 3 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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