7+4(3+y)=8(3y-1)-2

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Solution for 7+4(3+y)=8(3y-1)-2 equation:


Simplifying
7 + 4(3 + y) = 8(3y + -1) + -2
7 + (3 * 4 + y * 4) = 8(3y + -1) + -2
7 + (12 + 4y) = 8(3y + -1) + -2

Combine like terms: 7 + 12 = 19
19 + 4y = 8(3y + -1) + -2

Reorder the terms:
19 + 4y = 8(-1 + 3y) + -2
19 + 4y = (-1 * 8 + 3y * 8) + -2
19 + 4y = (-8 + 24y) + -2

Reorder the terms:
19 + 4y = -8 + -2 + 24y

Combine like terms: -8 + -2 = -10
19 + 4y = -10 + 24y

Solving
19 + 4y = -10 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
19 + 4y + -24y = -10 + 24y + -24y

Combine like terms: 4y + -24y = -20y
19 + -20y = -10 + 24y + -24y

Combine like terms: 24y + -24y = 0
19 + -20y = -10 + 0
19 + -20y = -10

Add '-19' to each side of the equation.
19 + -19 + -20y = -10 + -19

Combine like terms: 19 + -19 = 0
0 + -20y = -10 + -19
-20y = -10 + -19

Combine like terms: -10 + -19 = -29
-20y = -29

Divide each side by '-20'.
y = 1.45

Simplifying
y = 1.45

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