-3(4y+1)-19=-8(y+4)+4y

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Solution for -3(4y+1)-19=-8(y+4)+4y equation:


Simplifying
-3(4y + 1) + -19 = -8(y + 4) + 4y

Reorder the terms:
-3(1 + 4y) + -19 = -8(y + 4) + 4y
(1 * -3 + 4y * -3) + -19 = -8(y + 4) + 4y
(-3 + -12y) + -19 = -8(y + 4) + 4y

Reorder the terms:
-3 + -19 + -12y = -8(y + 4) + 4y

Combine like terms: -3 + -19 = -22
-22 + -12y = -8(y + 4) + 4y

Reorder the terms:
-22 + -12y = -8(4 + y) + 4y
-22 + -12y = (4 * -8 + y * -8) + 4y
-22 + -12y = (-32 + -8y) + 4y

Combine like terms: -8y + 4y = -4y
-22 + -12y = -32 + -4y

Solving
-22 + -12y = -32 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-22 + -12y + 4y = -32 + -4y + 4y

Combine like terms: -12y + 4y = -8y
-22 + -8y = -32 + -4y + 4y

Combine like terms: -4y + 4y = 0
-22 + -8y = -32 + 0
-22 + -8y = -32

Add '22' to each side of the equation.
-22 + 22 + -8y = -32 + 22

Combine like terms: -22 + 22 = 0
0 + -8y = -32 + 22
-8y = -32 + 22

Combine like terms: -32 + 22 = -10
-8y = -10

Divide each side by '-8'.
y = 1.25

Simplifying
y = 1.25

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