4y+3[7+2(y+3)]=83

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Solution for 4y+3[7+2(y+3)]=83 equation:


Simplifying
4y + 3[7 + 2(y + 3)] = 83

Reorder the terms:
4y + 3[7 + 2(3 + y)] = 83
4y + 3[7 + (3 * 2 + y * 2)] = 83
4y + 3[7 + (6 + 2y)] = 83

Combine like terms: 7 + 6 = 13
4y + 3[13 + 2y] = 83
4y + [13 * 3 + 2y * 3] = 83
4y + [39 + 6y] = 83

Reorder the terms:
39 + 4y + 6y = 83

Combine like terms: 4y + 6y = 10y
39 + 10y = 83

Solving
39 + 10y = 83

Solving for variable 'y'.

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

Add '-39' to each side of the equation.
39 + -39 + 10y = 83 + -39

Combine like terms: 39 + -39 = 0
0 + 10y = 83 + -39
10y = 83 + -39

Combine like terms: 83 + -39 = 44
10y = 44

Divide each side by '10'.
y = 4.4

Simplifying
y = 4.4

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