4*(y+6)+3*(7-4y)=33

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Solution for 4*(y+6)+3*(7-4y)=33 equation:


Simplifying
4(y + 6) + 3(7 + -4y) = 33

Reorder the terms:
4(6 + y) + 3(7 + -4y) = 33
(6 * 4 + y * 4) + 3(7 + -4y) = 33
(24 + 4y) + 3(7 + -4y) = 33
24 + 4y + (7 * 3 + -4y * 3) = 33
24 + 4y + (21 + -12y) = 33

Reorder the terms:
24 + 21 + 4y + -12y = 33

Combine like terms: 24 + 21 = 45
45 + 4y + -12y = 33

Combine like terms: 4y + -12y = -8y
45 + -8y = 33

Solving
45 + -8y = 33

Solving for variable 'y'.

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

Add '-45' to each side of the equation.
45 + -45 + -8y = 33 + -45

Combine like terms: 45 + -45 = 0
0 + -8y = 33 + -45
-8y = 33 + -45

Combine like terms: 33 + -45 = -12
-8y = -12

Divide each side by '-8'.
y = 1.5

Simplifying
y = 1.5

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