3(y-9)+4=16y-10

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Solution for 3(y-9)+4=16y-10 equation: 


Simplifying
3(y + -9) + 4 = 16y + -10

Reorder the terms:
3(-9 + y) + 4 = 16y + -10
(-9 * 3 + y * 3) + 4 = 16y + -10
(-27 + 3y) + 4 = 16y + -10

Reorder the terms:
-27 + 4 + 3y = 16y + -10

Combine like terms: -27 + 4 = -23
-23 + 3y = 16y + -10

Reorder the terms:
-23 + 3y = -10 + 16y

Solving
-23 + 3y = -10 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-23 + 3y + -16y = -10 + 16y + -16y

Combine like terms: 3y + -16y = -13y
-23 + -13y = -10 + 16y + -16y

Combine like terms: 16y + -16y = 0
-23 + -13y = -10 + 0
-23 + -13y = -10

Add '23' to each side of the equation.
-23 + 23 + -13y = -10 + 23

Combine like terms: -23 + 23 = 0
0 + -13y = -10 + 23
-13y = -10 + 23

Combine like terms: -10 + 23 = 13
-13y = 13

Divide each side by '-13'.
y = -1

Simplifying
y = -1

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