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

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


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

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

Reorder the terms:
-3 + 3y + 5(4 + y) = 10
-3 + 3y + (4 * 5 + y * 5) = 10
-3 + 3y + (20 + 5y) = 10

Reorder the terms:
-3 + 20 + 3y + 5y = 10

Combine like terms: -3 + 20 = 17
17 + 3y + 5y = 10

Combine like terms: 3y + 5y = 8y
17 + 8y = 10

Solving
17 + 8y = 10

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 8y = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 8y = 10 + -17
8y = 10 + -17

Combine like terms: 10 + -17 = -7
8y = -7

Divide each side by '8'.
y = -0.875

Simplifying
y = -0.875

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