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Simplifying 4(5y + -2) + -1(2y + 3) = -95 + -1(4y + 4) Reorder the terms: 4(-2 + 5y) + -1(2y + 3) = -95 + -1(4y + 4) (-2 * 4 + 5y * 4) + -1(2y + 3) = -95 + -1(4y + 4) (-8 + 20y) + -1(2y + 3) = -95 + -1(4y + 4) Reorder the terms: -8 + 20y + -1(3 + 2y) = -95 + -1(4y + 4) -8 + 20y + (3 * -1 + 2y * -1) = -95 + -1(4y + 4) -8 + 20y + (-3 + -2y) = -95 + -1(4y + 4) Reorder the terms: -8 + -3 + 20y + -2y = -95 + -1(4y + 4) Combine like terms: -8 + -3 = -11 -11 + 20y + -2y = -95 + -1(4y + 4) Combine like terms: 20y + -2y = 18y -11 + 18y = -95 + -1(4y + 4) Reorder the terms: -11 + 18y = -95 + -1(4 + 4y) -11 + 18y = -95 + (4 * -1 + 4y * -1) -11 + 18y = -95 + (-4 + -4y) Combine like terms: -95 + -4 = -99 -11 + 18y = -99 + -4y Solving -11 + 18y = -99 + -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. -11 + 18y + 4y = -99 + -4y + 4y Combine like terms: 18y + 4y = 22y -11 + 22y = -99 + -4y + 4y Combine like terms: -4y + 4y = 0 -11 + 22y = -99 + 0 -11 + 22y = -99 Add '11' to each side of the equation. -11 + 11 + 22y = -99 + 11 Combine like terms: -11 + 11 = 0 0 + 22y = -99 + 11 22y = -99 + 11 Combine like terms: -99 + 11 = -88 22y = -88 Divide each side by '22'. y = -4 Simplifying y = -4
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