6y+3(5y-19)-(y+2)=-142

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Solution for 6y+3(5y-19)-(y+2)=-142 equation:


Simplifying
6y + 3(5y + -19) + -1(y + 2) = -142

Reorder the terms:
6y + 3(-19 + 5y) + -1(y + 2) = -142
6y + (-19 * 3 + 5y * 3) + -1(y + 2) = -142
6y + (-57 + 15y) + -1(y + 2) = -142

Reorder the terms:
6y + -57 + 15y + -1(2 + y) = -142
6y + -57 + 15y + (2 * -1 + y * -1) = -142
6y + -57 + 15y + (-2 + -1y) = -142

Reorder the terms:
-57 + -2 + 6y + 15y + -1y = -142

Combine like terms: -57 + -2 = -59
-59 + 6y + 15y + -1y = -142

Combine like terms: 6y + 15y = 21y
-59 + 21y + -1y = -142

Combine like terms: 21y + -1y = 20y
-59 + 20y = -142

Solving
-59 + 20y = -142

Solving for variable 'y'.

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

Add '59' to each side of the equation.
-59 + 59 + 20y = -142 + 59

Combine like terms: -59 + 59 = 0
0 + 20y = -142 + 59
20y = -142 + 59

Combine like terms: -142 + 59 = -83
20y = -83

Divide each side by '20'.
y = -4.15

Simplifying
y = -4.15

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