5(y-3)+3(y-4)=12

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Solution for 5(y-3)+3(y-4)=12 equation:


Simplifying
5(y + -3) + 3(y + -4) = 12

Reorder the terms:
5(-3 + y) + 3(y + -4) = 12
(-3 * 5 + y * 5) + 3(y + -4) = 12
(-15 + 5y) + 3(y + -4) = 12

Reorder the terms:
-15 + 5y + 3(-4 + y) = 12
-15 + 5y + (-4 * 3 + y * 3) = 12
-15 + 5y + (-12 + 3y) = 12

Reorder the terms:
-15 + -12 + 5y + 3y = 12

Combine like terms: -15 + -12 = -27
-27 + 5y + 3y = 12

Combine like terms: 5y + 3y = 8y
-27 + 8y = 12

Solving
-27 + 8y = 12

Solving for variable 'y'.

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

Add '27' to each side of the equation.
-27 + 27 + 8y = 12 + 27

Combine like terms: -27 + 27 = 0
0 + 8y = 12 + 27
8y = 12 + 27

Combine like terms: 12 + 27 = 39
8y = 39

Divide each side by '8'.
y = 4.875

Simplifying
y = 4.875

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