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Simplifying -30y = -1(-5y + 7) + -15 + 22 + -1(18y + 28) Reorder the terms: -30y = -1(7 + -5y) + -15 + 22 + -1(18y + 28) -30y = (7 * -1 + -5y * -1) + -15 + 22 + -1(18y + 28) -30y = (-7 + 5y) + -15 + 22 + -1(18y + 28) Reorder the terms: -30y = -7 + 5y + -15 + 22 + -1(28 + 18y) -30y = -7 + 5y + -15 + 22 + (28 * -1 + 18y * -1) -30y = -7 + 5y + -15 + 22 + (-28 + -18y) Reorder the terms: -30y = -7 + -15 + 22 + -28 + 5y + -18y Combine like terms: -7 + -15 = -22 -30y = -22 + 22 + -28 + 5y + -18y Combine like terms: -22 + 22 = 0 -30y = 0 + -28 + 5y + -18y -30y = -28 + 5y + -18y Combine like terms: 5y + -18y = -13y -30y = -28 + -13y Solving -30y = -28 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -30y + 13y = -28 + -13y + 13y Combine like terms: -30y + 13y = -17y -17y = -28 + -13y + 13y Combine like terms: -13y + 13y = 0 -17y = -28 + 0 -17y = -28 Divide each side by '-17'. y = 1.647058824 Simplifying y = 1.647058824
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