4y+9=6(y-2)+5

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Solution for 4y+9=6(y-2)+5 equation:


Simplifying
4y + 9 = 6(y + -2) + 5

Reorder the terms:
9 + 4y = 6(y + -2) + 5

Reorder the terms:
9 + 4y = 6(-2 + y) + 5
9 + 4y = (-2 * 6 + y * 6) + 5
9 + 4y = (-12 + 6y) + 5

Reorder the terms:
9 + 4y = -12 + 5 + 6y

Combine like terms: -12 + 5 = -7
9 + 4y = -7 + 6y

Solving
9 + 4y = -7 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
9 + 4y + -6y = -7 + 6y + -6y

Combine like terms: 4y + -6y = -2y
9 + -2y = -7 + 6y + -6y

Combine like terms: 6y + -6y = 0
9 + -2y = -7 + 0
9 + -2y = -7

Add '-9' to each side of the equation.
9 + -9 + -2y = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2y = -7 + -9
-2y = -7 + -9

Combine like terms: -7 + -9 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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