-46+10y+9=5(3y-2)-7

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Solution for -46+10y+9=5(3y-2)-7 equation:


Simplifying
-46 + 10y + 9 = 5(3y + -2) + -7

Reorder the terms:
-46 + 9 + 10y = 5(3y + -2) + -7

Combine like terms: -46 + 9 = -37
-37 + 10y = 5(3y + -2) + -7

Reorder the terms:
-37 + 10y = 5(-2 + 3y) + -7
-37 + 10y = (-2 * 5 + 3y * 5) + -7
-37 + 10y = (-10 + 15y) + -7

Reorder the terms:
-37 + 10y = -10 + -7 + 15y

Combine like terms: -10 + -7 = -17
-37 + 10y = -17 + 15y

Solving
-37 + 10y = -17 + 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.
-37 + 10y + -15y = -17 + 15y + -15y

Combine like terms: 10y + -15y = -5y
-37 + -5y = -17 + 15y + -15y

Combine like terms: 15y + -15y = 0
-37 + -5y = -17 + 0
-37 + -5y = -17

Add '37' to each side of the equation.
-37 + 37 + -5y = -17 + 37

Combine like terms: -37 + 37 = 0
0 + -5y = -17 + 37
-5y = -17 + 37

Combine like terms: -17 + 37 = 20
-5y = 20

Divide each side by '-5'.
y = -4

Simplifying
y = -4

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