4(y+3)-5(y+10)=1

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Solution for 4(y+3)-5(y+10)=1 equation: 


Simplifying
4(y + 3) + -5(y + 10) = 1

Reorder the terms:
4(3 + y) + -5(y + 10) = 1
(3 * 4 + y * 4) + -5(y + 10) = 1
(12 + 4y) + -5(y + 10) = 1

Reorder the terms:
12 + 4y + -5(10 + y) = 1
12 + 4y + (10 * -5 + y * -5) = 1
12 + 4y + (-50 + -5y) = 1

Reorder the terms:
12 + -50 + 4y + -5y = 1

Combine like terms: 12 + -50 = -38
-38 + 4y + -5y = 1

Combine like terms: 4y + -5y = -1y
-38 + -1y = 1

Solving
-38 + -1y = 1

Solving for variable 'y'.

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

Add '38' to each side of the equation.
-38 + 38 + -1y = 1 + 38

Combine like terms: -38 + 38 = 0
0 + -1y = 1 + 38
-1y = 1 + 38

Combine like terms: 1 + 38 = 39
-1y = 39

Divide each side by '-1'.
y = -39

Simplifying
y = -39

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