4(y-6)+5(y+2)=49

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Solution for 4(y-6)+5(y+2)=49 equation:


Simplifying
4(y + -6) + 5(y + 2) = 49

Reorder the terms:
4(-6 + y) + 5(y + 2) = 49
(-6 * 4 + y * 4) + 5(y + 2) = 49
(-24 + 4y) + 5(y + 2) = 49

Reorder the terms:
-24 + 4y + 5(2 + y) = 49
-24 + 4y + (2 * 5 + y * 5) = 49
-24 + 4y + (10 + 5y) = 49

Reorder the terms:
-24 + 10 + 4y + 5y = 49

Combine like terms: -24 + 10 = -14
-14 + 4y + 5y = 49

Combine like terms: 4y + 5y = 9y
-14 + 9y = 49

Solving
-14 + 9y = 49

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 9y = 49 + 14

Combine like terms: -14 + 14 = 0
0 + 9y = 49 + 14
9y = 49 + 14

Combine like terms: 49 + 14 = 63
9y = 63

Divide each side by '9'.
y = 7

Simplifying
y = 7

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