4(y+2)-3(y-7)=41

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Solution for 4(y+2)-3(y-7)=41 equation:


Simplifying
4(y + 2) + -3(y + -7) = 41

Reorder the terms:
4(2 + y) + -3(y + -7) = 41
(2 * 4 + y * 4) + -3(y + -7) = 41
(8 + 4y) + -3(y + -7) = 41

Reorder the terms:
8 + 4y + -3(-7 + y) = 41
8 + 4y + (-7 * -3 + y * -3) = 41
8 + 4y + (21 + -3y) = 41

Reorder the terms:
8 + 21 + 4y + -3y = 41

Combine like terms: 8 + 21 = 29
29 + 4y + -3y = 41

Combine like terms: 4y + -3y = 1y
29 + 1y = 41

Solving
29 + 1y = 41

Solving for variable 'y'.

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

Add '-29' to each side of the equation.
29 + -29 + 1y = 41 + -29

Combine like terms: 29 + -29 = 0
0 + 1y = 41 + -29
1y = 41 + -29

Combine like terms: 41 + -29 = 12
1y = 12

Divide each side by '1'.
y = 12

Simplifying
y = 12

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