10y+25=-10-4(y+3)*2.5

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Solution for 10y+25=-10-4(y+3)*2.5 equation:


Simplifying
10y + 25 = -10 + -4(y + 3) * 2.5

Reorder the terms:
25 + 10y = -10 + -4(y + 3) * 2.5

Reorder the terms:
25 + 10y = -10 + -4(3 + y) * 2.5

Reorder the terms for easier multiplication:
25 + 10y = -10 + -4 * 2.5(3 + y)

Multiply -4 * 2.5
25 + 10y = -10 + -10(3 + y)
25 + 10y = -10 + (3 * -10 + y * -10)
25 + 10y = -10 + (-30 + -10y)

Combine like terms: -10 + -30 = -40
25 + 10y = -40 + -10y

Solving
25 + 10y = -40 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
25 + 10y + 10y = -40 + -10y + 10y

Combine like terms: 10y + 10y = 20y
25 + 20y = -40 + -10y + 10y

Combine like terms: -10y + 10y = 0
25 + 20y = -40 + 0
25 + 20y = -40

Add '-25' to each side of the equation.
25 + -25 + 20y = -40 + -25

Combine like terms: 25 + -25 = 0
0 + 20y = -40 + -25
20y = -40 + -25

Combine like terms: -40 + -25 = -65
20y = -65

Divide each side by '20'.
y = -3.25

Simplifying
y = -3.25

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