-10y+48=-3(5y-7)+54

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Solution for -10y+48=-3(5y-7)+54 equation:


Simplifying
-10y + 48 = -3(5y + -7) + 54

Reorder the terms:
48 + -10y = -3(5y + -7) + 54

Reorder the terms:
48 + -10y = -3(-7 + 5y) + 54
48 + -10y = (-7 * -3 + 5y * -3) + 54
48 + -10y = (21 + -15y) + 54

Reorder the terms:
48 + -10y = 21 + 54 + -15y

Combine like terms: 21 + 54 = 75
48 + -10y = 75 + -15y

Solving
48 + -10y = 75 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
48 + -10y + 15y = 75 + -15y + 15y

Combine like terms: -10y + 15y = 5y
48 + 5y = 75 + -15y + 15y

Combine like terms: -15y + 15y = 0
48 + 5y = 75 + 0
48 + 5y = 75

Add '-48' to each side of the equation.
48 + -48 + 5y = 75 + -48

Combine like terms: 48 + -48 = 0
0 + 5y = 75 + -48
5y = 75 + -48

Combine like terms: 75 + -48 = 27
5y = 27

Divide each side by '5'.
y = 5.4

Simplifying
y = 5.4

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