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Simplifying -15y + -5(3y + 18) = -17y + 20 + 20 Reorder the terms: -15y + -5(18 + 3y) = -17y + 20 + 20 -15y + (18 * -5 + 3y * -5) = -17y + 20 + 20 -15y + (-90 + -15y) = -17y + 20 + 20 Reorder the terms: -90 + -15y + -15y = -17y + 20 + 20 Combine like terms: -15y + -15y = -30y -90 + -30y = -17y + 20 + 20 Reorder the terms: -90 + -30y = 20 + 20 + -17y Combine like terms: 20 + 20 = 40 -90 + -30y = 40 + -17y Solving -90 + -30y = 40 + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -90 + -30y + 17y = 40 + -17y + 17y Combine like terms: -30y + 17y = -13y -90 + -13y = 40 + -17y + 17y Combine like terms: -17y + 17y = 0 -90 + -13y = 40 + 0 -90 + -13y = 40 Add '90' to each side of the equation. -90 + 90 + -13y = 40 + 90 Combine like terms: -90 + 90 = 0 0 + -13y = 40 + 90 -13y = 40 + 90 Combine like terms: 40 + 90 = 130 -13y = 130 Divide each side by '-13'. y = -10 Simplifying y = -10
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