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

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Solution for 2(y-3)+5=4y+3 equation:


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

Reorder the terms:
2(-3 + y) + 5 = 4y + 3
(-3 * 2 + y * 2) + 5 = 4y + 3
(-6 + 2y) + 5 = 4y + 3

Reorder the terms:
-6 + 5 + 2y = 4y + 3

Combine like terms: -6 + 5 = -1
-1 + 2y = 4y + 3

Reorder the terms:
-1 + 2y = 3 + 4y

Solving
-1 + 2y = 3 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-1 + 2y + -4y = 3 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-1 + -2y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
-1 + -2y = 3 + 0
-1 + -2y = 3

Add '1' to each side of the equation.
-1 + 1 + -2y = 3 + 1

Combine like terms: -1 + 1 = 0
0 + -2y = 3 + 1
-2y = 3 + 1

Combine like terms: 3 + 1 = 4
-2y = 4

Divide each side by '-2'.
y = -2

Simplifying
y = -2

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