-4y+45=3(5y-4)

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Solution for -4y+45=3(5y-4) equation:


Simplifying
-4y + 45 = 3(5y + -4)

Reorder the terms:
45 + -4y = 3(5y + -4)

Reorder the terms:
45 + -4y = 3(-4 + 5y)
45 + -4y = (-4 * 3 + 5y * 3)
45 + -4y = (-12 + 15y)

Solving
45 + -4y = -12 + 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.
45 + -4y + -15y = -12 + 15y + -15y

Combine like terms: -4y + -15y = -19y
45 + -19y = -12 + 15y + -15y

Combine like terms: 15y + -15y = 0
45 + -19y = -12 + 0
45 + -19y = -12

Add '-45' to each side of the equation.
45 + -45 + -19y = -12 + -45

Combine like terms: 45 + -45 = 0
0 + -19y = -12 + -45
-19y = -12 + -45

Combine like terms: -12 + -45 = -57
-19y = -57

Divide each side by '-19'.
y = 3

Simplifying
y = 3

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