-38+17y+9=4(5y-3)-2

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Solution for -38+17y+9=4(5y-3)-2 equation:


Simplifying
-38 + 17y + 9 = 4(5y + -3) + -2

Reorder the terms:
-38 + 9 + 17y = 4(5y + -3) + -2

Combine like terms: -38 + 9 = -29
-29 + 17y = 4(5y + -3) + -2

Reorder the terms:
-29 + 17y = 4(-3 + 5y) + -2
-29 + 17y = (-3 * 4 + 5y * 4) + -2
-29 + 17y = (-12 + 20y) + -2

Reorder the terms:
-29 + 17y = -12 + -2 + 20y

Combine like terms: -12 + -2 = -14
-29 + 17y = -14 + 20y

Solving
-29 + 17y = -14 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-29 + 17y + -20y = -14 + 20y + -20y

Combine like terms: 17y + -20y = -3y
-29 + -3y = -14 + 20y + -20y

Combine like terms: 20y + -20y = 0
-29 + -3y = -14 + 0
-29 + -3y = -14

Add '29' to each side of the equation.
-29 + 29 + -3y = -14 + 29

Combine like terms: -29 + 29 = 0
0 + -3y = -14 + 29
-3y = -14 + 29

Combine like terms: -14 + 29 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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