3(y-5)-4(y-3)=-4

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


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

Reorder the terms:
3(-5 + y) + -4(y + -3) = -4
(-5 * 3 + y * 3) + -4(y + -3) = -4
(-15 + 3y) + -4(y + -3) = -4

Reorder the terms:
-15 + 3y + -4(-3 + y) = -4
-15 + 3y + (-3 * -4 + y * -4) = -4
-15 + 3y + (12 + -4y) = -4

Reorder the terms:
-15 + 12 + 3y + -4y = -4

Combine like terms: -15 + 12 = -3
-3 + 3y + -4y = -4

Combine like terms: 3y + -4y = -1y
-3 + -1y = -4

Solving
-3 + -1y = -4

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + -1y = -4 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = -4 + 3
-1y = -4 + 3

Combine like terms: -4 + 3 = -1
-1y = -1

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

Simplifying
y = 1

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