3(y-5)+4(y+4)-10=19

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Solution for 3(y-5)+4(y+4)-10=19 equation:


Simplifying
3(y + -5) + 4(y + 4) + -10 = 19

Reorder the terms:
3(-5 + y) + 4(y + 4) + -10 = 19
(-5 * 3 + y * 3) + 4(y + 4) + -10 = 19
(-15 + 3y) + 4(y + 4) + -10 = 19

Reorder the terms:
-15 + 3y + 4(4 + y) + -10 = 19
-15 + 3y + (4 * 4 + y * 4) + -10 = 19
-15 + 3y + (16 + 4y) + -10 = 19

Reorder the terms:
-15 + 16 + -10 + 3y + 4y = 19

Combine like terms: -15 + 16 = 1
1 + -10 + 3y + 4y = 19

Combine like terms: 1 + -10 = -9
-9 + 3y + 4y = 19

Combine like terms: 3y + 4y = 7y
-9 + 7y = 19

Solving
-9 + 7y = 19

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 7y = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 7y = 19 + 9
7y = 19 + 9

Combine like terms: 19 + 9 = 28
7y = 28

Divide each side by '7'.
y = 4

Simplifying
y = 4

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