3(1[y+5]1)=-[7]y-45

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Solution for 3(1[y+5]1)=-[7]y-45 equation: 


Simplifying
3(1[y + 5] * 1) = -1[7] * y + -45

Reorder the terms:
3(1[5 + y] * 1) = -1[7] * y + -45

Reorder the terms for easier multiplication:
3(1 * 1[5 + y]) = -1[7] * y + -45

Multiply 1 * 1
3(1[5 + y]) = -1[7] * y + -45
3([5 * 1 + y * 1]) = -1[7] * y + -45
3([5 + 1y]) = -1[7] * y + -45
(5 * 3 + 1y * 3) = -1[7] * y + -45
(15 + 3y) = -1[7] * y + -45

Multiply -1 * 7
15 + 3y = -7y + -45

Reorder the terms:
15 + 3y = -45 + -7y

Solving
15 + 3y = -45 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
15 + 3y + 7y = -45 + -7y + 7y

Combine like terms: 3y + 7y = 10y
15 + 10y = -45 + -7y + 7y

Combine like terms: -7y + 7y = 0
15 + 10y = -45 + 0
15 + 10y = -45

Add '-15' to each side of the equation.
15 + -15 + 10y = -45 + -15

Combine like terms: 15 + -15 = 0
0 + 10y = -45 + -15
10y = -45 + -15

Combine like terms: -45 + -15 = -60
10y = -60

Divide each side by '10'.
y = -6

Simplifying
y = -6

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